Cremona's table of elliptic curves

1650 = 2 · 3 · 5² · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 11-	Signs for the Atkin-Lehner involutions
Class	1650q	Isogeny class
Conductor	1650	Conductor
∏ cp	160	Product of Tamagawa factors cp
Δ	279098789062500 = 22 · 310 · 510 · 112	Discriminant
Eigenvalues	2- 3- 5+  0 11- -2  2  8	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-35338,-2430208]	[a1,a2,a3,a4,a6]
j	312341975961049/17862322500	j-invariant
L	3.4945099319148	L(r)(E,1)/r!
Ω	0.34945099319148	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	13200bg2 52800a2 4950h2 330a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1650q2

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

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Quadratic twists for elliptic curve 1650q2

-4	8	-3	5	-7	-11
13200bg2	52800a2	4950h2	330a2	80850ei2	18150y2

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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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