Cremona's table of elliptic curves

355 = 5 · 71

Field	Data	Notes
Atkin-Lehner	5- 71+	Signs for the Atkin-Lehner involutions
Class	355a	Isogeny class
Conductor	355	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	-1789555 = -1 · 5 · 713	Discriminant
Eigenvalues	0 -2 5- -1  0  5  6 -1	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-95,-396]	[a1,a2,a3,a4,a6]
j	-95820414976/1789555	j-invariant
L	0.76309280897321	L(r)(E,1)/r!
Ω	0.76309280897321	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	5680k2 22720c2 3195b2 1775a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 355a2

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	-	-1	0	5	6	-1	0	-3	2	8	6	2	3	-3	-6	2	-4	+	-4	-1	6	15	-7

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Quadratic twists for elliptic curve 355a2

-4	8	-3	5	-7	-11	13	17	-19	-71
5680k2	22720c2	3195b2	1775a2	17395c2	42955d2	59995b2	102595a2	128155c2	25205c2

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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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