Cremona's table of elliptic curves

1950 = 2 · 3 · 5² · 13

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 13+	Signs for the Atkin-Lehner involutions
Class	1950n	Isogeny class
Conductor	1950	Conductor
∏ cp	40	Product of Tamagawa factors cp
deg	17280	Modular degree for the optimal curve
Δ	-63969750000000000 = -1 · 210 · 39 · 512 · 13	Discriminant
Eigenvalues	2- 3+ 5+ -2  0 13+  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,99937,499781]	[a1,a2,a3,a4,a6]
j	7064514799444439/4094064000000	j-invariant
L	2.0957284377529	L(r)(E,1)/r!
Ω	0.20957284377529	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	15600cd1 62400cy1 5850j1 390d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1950n1

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

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Quadratic twists for elliptic curve 1950n1

-4	8	-3	5	-7	13
15600cd1	62400cy1	5850j1	390d1	95550jo1	25350c1

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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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