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	4	Product of Tamagawa factors cp
Δ	722656250 = 2 · 510 · 37	Discriminant
Eigenvalues	2-  0 5+  0 -4 -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-9880,-375503]	[a1,a2,a3,a4,a6]
Generators	[1743576:7563175:13824]	Generators of the group modulo torsion
j	6825481747209/46250	j-invariant
L	3.9976473448062	L(r)(E,1)/r!
Ω	0.47886591898713	Real period
R	8.3481558956247	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	14800t3 59200a4 16650r3 370a3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1850j3

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 1850j3

-4	8	-3	5	-7	37
14800t3	59200a4	16650r3	370a3	90650cl4	68450a4

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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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