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	1650d	Isogeny class
Conductor	1650	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	-1069200000000 = -1 · 210 · 35 · 58 · 11	Discriminant
Eigenvalues	2+ 3+ 5- -3 11- -4  7  5	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-22575,1297125]	[a1,a2,a3,a4,a6]
Generators	[110:345:1]	Generators of the group modulo torsion
j	-3257444411545/2737152	j-invariant
L	1.7338529787553	L(r)(E,1)/r!
Ω	0.86718359040154	Real period
R	0.333234507269	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	13200cq2 52800dt2 4950br2 1650s1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1650d2

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
+	+	-	-3	-	-4	7	5	1	-10	2	7	-3	-4	-13	-4	-5	12	12	-3	-4	-15	-14	0	7

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Quadratic twists for elliptic curve 1650d2

-4	8	-3	5	-7	-11
13200cq2	52800dt2	4950br2	1650s1	80850dh2	18150ci2

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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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