Cremona's table of elliptic curves

13804 = 2² · 7 · 17 · 29

Field	Data	Notes
Atkin-Lehner	2- 7- 17- 29+	Signs for the Atkin-Lehner involutions
Class	13804d	Isogeny class
Conductor	13804	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	737280	Modular degree for the optimal curve
Δ	-1.0457249983917E+20	Discriminant
Eigenvalues	2-  3 -1 7- -3  1 17-  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,823337,399224894]	[a1,a2,a3,a4,a6]
j	241110789289545781296/408486327496746149	j-invariant
L	4.1274977566228	L(r)(E,1)/r!
Ω	0.12898430489446	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	55216l1 124236t1 96628d1	Quadratic twists by: -4 -3 -7

Hecke Eigenvalues for elliptic curve 13804d1

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
-	3	-1	-	-3	1	-	4	-6	+	-9	12	12	9	-1	-5	10	14	12	6	-16	-11	-6	4	4

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Quadratic twists for elliptic curve 13804d1

-4	-3	-7
55216l1	124236t1	96628d1

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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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