Cremona's table of elliptic curves

310 = 2 · 5 · 31

Field	Data	Notes
Atkin-Lehner	2- 5+ 31+	Signs for the Atkin-Lehner involutions
Class	310a	Isogeny class
Conductor	310	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	192200 = 23 · 52 · 312	Discriminant
Eigenvalues	2-  2 5+  0  2  0  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-1066,-13841]	[a1,a2,a3,a4,a6]
j	133974081659809/192200	j-invariant
L	2.5065676119085	L(r)(E,1)/r!
Ω	0.83552253730284	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	2480l2 9920j2 2790h2 1550c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 310a2

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
-	2	+	0	2	0	2	-4	-4	-4	+	-8	6	2	0	8	8	0	4	0	6	-4	6	-6	-2

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Quadratic twists for elliptic curve 310a2

-4	8	-3	5	-7	-11	13	17	-19	-31
2480l2	9920j2	2790h2	1550c2	15190bm2	37510b2	52390d2	89590n2	111910d2	9610b2

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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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