Cremona's table of elliptic curves

7259 = 7 · 17 · 61

Field	Data	Notes
Atkin-Lehner	7- 17- 61+	Signs for the Atkin-Lehner involutions
Class	7259d	Isogeny class
Conductor	7259	Conductor
∏ cp	49	Product of Tamagawa factors cp
deg	76440	Modular degree for the optimal curve
Δ	20613824048484779 = 77 · 177 · 61	Discriminant
Eigenvalues	-1 -2 -3 7-  2 -6 17-  3	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-260847,-50831834]	[a1,a2,a3,a4,a6]
Generators	[-313:573:1]	Generators of the group modulo torsion
j	1962823979251420033393/20613824048484779	j-invariant
L	1.1209982955917	L(r)(E,1)/r!
Ω	0.21138714977227	Real period
R	0.10822567152834	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	116144m1 65331o1 50813e1 123403e1	Quadratic twists by: -4 -3 -7 17

Hecke Eigenvalues for elliptic curve 7259d1

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
-1	-2	-3	-	2	-6	-	3	-2	-6	-7	1	5	-1	-3	-8	2	+	-7	-8	10	10	11	17	7

---

Quadratic twists for elliptic curve 7259d1

-4	-3	-7	17
116144m1	65331o1	50813e1	123403e1

---

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