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	1850m	Isogeny class
Conductor	1850	Conductor
∏ cp	46	Product of Tamagawa factors cp
deg	4416	Modular degree for the optimal curve
Δ	-287100108800 = -1 · 223 · 52 · 372	Discriminant
Eigenvalues	2- -3 5+  0 -1 -2 -7  5	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-3105,72177]	[a1,a2,a3,a4,a6]
Generators	[183:-2460:1]	Generators of the group modulo torsion
j	-132384574175625/11484004352	j-invariant
L	2.7336762796616	L(r)(E,1)/r!
Ω	0.95352589124304	Real period
R	0.062324207193329	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	14800z1 59200q1 16650q1 1850d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1850m1

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
-	-3	+	0	-1	-2	-7	5	6	0	-4	-	-3	-4	-4	2	4	-8	-13	-6	-7	14	3	-7	-18

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Quadratic twists for elliptic curve 1850m1

-4	8	-3	5	-7	37
14800z1	59200q1	16650q1	1850d1	90650ct1	68450l1

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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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