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	25410b	Isogeny class
Conductor	25410	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	29348550 = 2 · 32 · 52 · 72 · 113	Discriminant
Eigenvalues	2+ 3+ 5+ 7+ 11+  2  8 -8	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-2928,59778]	[a1,a2,a3,a4,a6]
Generators	[29:3:1]	Generators of the group modulo torsion
j	2086847005139/22050	j-invariant
L	2.7509520189503	L(r)(E,1)/r!
Ω	1.896981065599	Real period
R	0.36254342081185	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	76230ed2 127050hq2 25410bp2	Quadratic twists by: -3 5 -11

Hecke Eigenvalues for elliptic curve 25410b2

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

---

Quadratic twists for elliptic curve 25410b2

-3	5	-11
76230ed2	127050hq2	25410bp2

---

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