Cremona's table of elliptic curves

32490 = 2 · 3² · 5 · 19²

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 19-	Signs for the Atkin-Lehner involutions
Class	32490bd	Isogeny class
Conductor	32490	Conductor
∏ cp	160	Product of Tamagawa factors cp
deg	691200	Modular degree for the optimal curve
Δ	450408382431667200 = 210 · 39 · 52 · 197	Discriminant
Eigenvalues	2- 3+ 5+ -4  6  0 -4 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-200423,-12201569]	[a1,a2,a3,a4,a6]
Generators	[613:9440:1]	Generators of the group modulo torsion
j	961504803/486400	j-invariant
L	7.3272259936762	L(r)(E,1)/r!
Ω	0.23800444756922	Real period
R	0.76965221327906	Regulator
r	1	Rank of the group of rational points
S	0.99999999999998	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	32490g1 1710a1	Quadratic twists by: -3 -19

Hecke Eigenvalues for elliptic curve 32490bd1

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
-	+	+	-4	6	0	-4	-	4	-10	2	4	10	-12	0	-6	4	-10	8	0	6	10	-14	10	6

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Quadratic twists for elliptic curve 32490bd1

-3	-19
32490g1	1710a1

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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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