Cremona's table of elliptic curves

11440 = 2⁴ · 5 · 11 · 13

Field	Data	Notes
Atkin-Lehner	2- 5- 11- 13-	Signs for the Atkin-Lehner involutions
Class	11440u	Isogeny class
Conductor	11440	Conductor
∏ cp	36	Product of Tamagawa factors cp
deg	20736	Modular degree for the optimal curve
Δ	-29744000000000 = -1 · 213 · 59 · 11 · 132	Discriminant
Eigenvalues	2- -1 5-  1 11- 13- -3  7	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-7800,-370448]	[a1,a2,a3,a4,a6]
Generators	[234:3250:1]	Generators of the group modulo torsion
j	-12814546750201/7261718750	j-invariant
L	4.1893721663843	L(r)(E,1)/r!
Ω	0.24751463838542	Real period
R	0.47015986539359	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	1430d1 45760bb1 102960df1 57200bm1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11440u1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	-1	-	1	-	-	-3	7	0	-3	-5	-7	0	10	-12	-9	6	-1	4	-15	2	-8	6	3	8

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Quadratic twists for elliptic curve 11440u1

-4	8	-3	5	-11
1430d1	45760bb1	102960df1	57200bm1	125840ci1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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