Cremona's table of elliptic curves

1850 = 2 · 5² · 37

Field	Data	Notes
Atkin-Lehner	2- 5+ 37-	Signs for the Atkin-Lehner involutions
Class	1850j	Isogeny class
Conductor	1850	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	2139062500 = 22 · 58 · 372	Discriminant
Eigenvalues	2-  0 5+  0 -4 -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-630,-5503]	[a1,a2,a3,a4,a6]
Generators	[-106:205:8]	Generators of the group modulo torsion
j	1767172329/136900	j-invariant
L	3.9976473448062	L(r)(E,1)/r!
Ω	0.95773183797426	Real period
R	4.1740779478123	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	14800t2 59200a2 16650r2 370a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1850j2

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

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Quadratic twists for elliptic curve 1850j2

-4	8	-3	5	-7	37
14800t2	59200a2	16650r2	370a2	90650cl2	68450a2

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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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