Cremona's table of elliptic curves

2945 = 5 · 19 · 31

Field	Data	Notes
Atkin-Lehner	5+ 19+ 31-	Signs for the Atkin-Lehner involutions
Class	2945a	Isogeny class
Conductor	2945	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	11411875 = 54 · 19 · 312	Discriminant
Eigenvalues	1  0 5+  0  6 -4 -2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-85,-234]	[a1,a2,a3,a4,a6]
j	68367756969/11411875	j-invariant
L	1.5892970690725	L(r)(E,1)/r!
Ω	1.5892970690725	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	47120l2 26505k2 14725a2 55955b2	Quadratic twists by: -4 -3 5 -19

Hecke Eigenvalues for elliptic curve 2945a2

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	0	+	0	6	-4	-2	+	6	0	-	-8	10	-10	0	12	12	10	4	8	14	-4	-2	16	-6

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Quadratic twists for elliptic curve 2945a2

-4	-3	5	-19	-31
47120l2	26505k2	14725a2	55955b2	91295a2

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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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