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	1650h	Isogeny class
Conductor	1650	Conductor
∏ cp	96	Product of Tamagawa factors cp
Δ	7234612233750000 = 24 · 33 · 57 · 118	Discriminant
Eigenvalues	2+ 3- 5+  0 11- -6 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-295626,61707148]	[a1,a2,a3,a4,a6]
Generators	[-7:7989:1]	Generators of the group modulo torsion
j	182864522286982801/463015182960	j-invariant
L	2.4907858868082	L(r)(E,1)/r!
Ω	0.41992482284923	Real period
R	0.24714601194447	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	13200bi3 52800f4 4950be3 330c4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1650h4

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	-	-6	-2	-4	0	-10	0	-6	2	-4	8	10	-4	-2	4	-8	-2	-8	12	-6	-18

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Quadratic twists for elliptic curve 1650h4

-4	8	-3	5	-7	-11
13200bi3	52800f4	4950be3	330c4	80850w4	18150cp3

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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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