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	1850h	Isogeny class
Conductor	1850	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	864	Modular degree for the optimal curve
Δ	-5781250 = -1 · 2 · 57 · 37	Discriminant
Eigenvalues	2-  2 5+  1  3  4 -3  2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-1338,18281]	[a1,a2,a3,a4,a6]
j	-16954786009/370	j-invariant
L	4.43241157726	L(r)(E,1)/r!
Ω	2.21620578863	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	14800p1 59200be1 16650j1 370c3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1850h1

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	+	1	3	4	-3	2	-6	3	5	+	3	1	-12	-3	0	-1	4	6	16	8	12	-6	-17

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Quadratic twists for elliptic curve 1850h1

-4	8	-3	5	-7	37
14800p1	59200be1	16650j1	370c3	90650ci1	68450e1

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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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