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	32490ba	Isogeny class
Conductor	32490	Conductor
∏ cp	192	Product of Tamagawa factors cp
Δ	308668025241000000 = 26 · 38 · 56 · 196	Discriminant
Eigenvalues	2+ 3- 5- -4  0 -2 -6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-1083609,-433072787]	[a1,a2,a3,a4,a6]
Generators	[-613:1049:1] [-603:1204:1]	Generators of the group modulo torsion
j	4102915888729/9000000	j-invariant
L	6.1996435725813	L(r)(E,1)/r!
Ω	0.14799213095244	Real period
R	3.4909759124138	Regulator
r	2	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	10830v6 90c6	Quadratic twists by: -3 -19

Hecke Eigenvalues for elliptic curve 32490ba6

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

---

Quadratic twists for elliptic curve 32490ba6

-3	-19
10830v6	90c6

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations