Cremona's table of elliptic curves

25620 = 2² · 3 · 5 · 7 · 61

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7- 61-	Signs for the Atkin-Lehner involutions
Class	25620i	Isogeny class
Conductor	25620	Conductor
∏ cp	216	Product of Tamagawa factors cp
deg	414720	Modular degree for the optimal curve
Δ	2026997075250000 = 24 · 36 · 56 · 72 · 613	Discriminant
Eigenvalues	2- 3- 5+ 7-  0  2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-3708481,2747557400]	[a1,a2,a3,a4,a6]
Generators	[-1075:74115:1]	Generators of the group modulo torsion
j	352526704772352391266304/126687317203125	j-invariant
L	6.6032382112535	L(r)(E,1)/r!
Ω	0.37654200854868	Real period
R	2.9227541068191	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	102480y1 76860n1 128100d1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 25620i1

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
-	-	+	-	0	2	6	-4	-6	0	2	-4	-6	-4	0	6	0	-	-16	0	2	-10	0	0	-10

---

Quadratic twists for elliptic curve 25620i1

-4	-3	5
102480y1	76860n1	128100d1

---

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