Cremona's table of elliptic curves

1947 = 3 · 11 · 59

Field	Data	Notes
Atkin-Lehner	3+ 11- 59+	Signs for the Atkin-Lehner involutions
Class	1947c	Isogeny class
Conductor	1947	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-10796568651 = -1 · 34 · 11 · 594	Discriminant
Eigenvalues	-1 3+ -2  0 11-  2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-594,-7734]	[a1,a2,a3,a4,a6]
j	-23180817201697/10796568651	j-invariant
L	0.47294230859863	L(r)(E,1)/r!
Ω	0.47294230859863	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	31152z3 124608bg3 5841f4 48675q3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1947c4

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

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Quadratic twists for elliptic curve 1947c4

-4	8	-3	5	-7	-11	-59
31152z3	124608bg3	5841f4	48675q3	95403l3	21417a3	114873b3

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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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