Cremona's table of elliptic curves

363 = 3 · 11²

Field	Data	Notes
Atkin-Lehner	3+ 11-	Signs for the Atkin-Lehner involutions
Class	363a	Isogeny class
Conductor	363	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	700310464227 = 33 · 1110	Discriminant
Eigenvalues	-1 3+ -2 -4 11-  2  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-17729,-915100]	[a1,a2,a3,a4,a6]
j	347873904937/395307	j-invariant
L	0.41376904699126	L(r)(E,1)/r!
Ω	0.41376904699126	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	5808bg3 23232ca4 1089g3 9075k3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 363a3

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

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Quadratic twists for elliptic curve 363a3

-4	8	-3	5	-7	-11	13	17
5808bg3	23232ca4	1089g3	9075k3	17787u3	33a3	61347j4	104907bf4

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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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