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	80	Product of Tamagawa factors cp
Δ	-43429724121093750 = -1 · 2 · 35 · 514 · 114	Discriminant
Eigenvalues	2- 3- 5+  0 11- -2  2  8	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,25412,-9902458]	[a1,a2,a3,a4,a6]
j	116149984977671/2779502343750	j-invariant
L	3.4945099319148	L(r)(E,1)/r!
Ω	0.17472549659574	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	13200bg4 52800a3 4950h4 330a4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1650q4

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 1650q4

-4	8	-3	5	-7	-11
13200bg4	52800a3	4950h4	330a4	80850ei3	18150y4

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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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