Cremona's table of elliptic curves

25410 = 2 · 3 · 5 · 7 · 11²

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 7- 11-	Signs for the Atkin-Lehner involutions
Class	25410h	Isogeny class
Conductor	25410	Conductor
∏ cp	48	Product of Tamagawa factors cp
deg	184320	Modular degree for the optimal curve
Δ	3508350225866640 = 24 · 38 · 5 · 73 · 117	Discriminant
Eigenvalues	2+ 3+ 5+ 7- 11- -2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-60623,4963413]	[a1,a2,a3,a4,a6]
Generators	[226:1581:1]	Generators of the group modulo torsion
j	13908844989649/1980372240	j-invariant
L	2.7060754610157	L(r)(E,1)/r!
Ω	0.42723284740932	Real period
R	0.52782994047721	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	76230fa1 127050hg1 2310m1	Quadratic twists by: -3 5 -11

Hecke Eigenvalues for elliptic curve 25410h1

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
+	+	+	-	-	-2	-2	-4	-4	6	0	2	-6	-12	8	-6	8	14	12	8	-10	-4	-16	10	6

---

Quadratic twists for elliptic curve 25410h1

-3	5	-11
76230fa1	127050hg1	2310m1

---

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