Cremona's table of elliptic curves

11270 = 2 · 5 · 7² · 23

Field	Data	Notes
Atkin-Lehner	2- 5- 7- 23-	Signs for the Atkin-Lehner involutions
Class	11270s	Isogeny class
Conductor	11270	Conductor
∏ cp	192	Product of Tamagawa factors cp
deg	73728	Modular degree for the optimal curve
Δ	16416846120550400 = 216 · 52 · 77 · 233	Discriminant
Eigenvalues	2-  0 5- 7- -2  0 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-66037,-2142451]	[a1,a2,a3,a4,a6]
Generators	[-193:1936:1]	Generators of the group modulo torsion
j	270701905514769/139540889600	j-invariant
L	6.858800678068	L(r)(E,1)/r!
Ω	0.31490718421701	Real period
R	0.4537580847778	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	90160cl1 101430w1 56350b1 1610b1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11270s1

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
-	0	-	-	-2	0	-2	0	-	-6	10	-4	10	-8	4	-8	-10	2	12	8	4	-14	4	-10	-14

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Quadratic twists for elliptic curve 11270s1

-4	-3	5	-7
90160cl1	101430w1	56350b1	1610b1

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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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