Cremona's table of elliptic curves

7140 = 2² · 3 · 5 · 7 · 17

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 7- 17-	Signs for the Atkin-Lehner involutions
Class	7140g	Isogeny class
Conductor	7140	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	1440	Modular degree for the optimal curve
Δ	-1370880 = -1 · 28 · 32 · 5 · 7 · 17	Discriminant
Eigenvalues	2- 3+ 5- 7-  2 -5 17- -6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-85,337]	[a1,a2,a3,a4,a6]
Generators	[7:-6:1]	Generators of the group modulo torsion
j	-268435456/5355	j-invariant
L	3.8377377628882	L(r)(E,1)/r!
Ω	2.7060473073537	Real period
R	0.23636798911209	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	28560ds1 114240du1 21420o1 35700ba1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7140g1

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	-5	-	-6	-1	4	9	-1	-9	-4	5	8	-12	-9	-4	-6	-4	-14	13	2	14

---

Quadratic twists for elliptic curve 7140g1

-4	8	-3	5	-7	17
28560ds1	114240du1	21420o1	35700ba1	49980t1	121380x1

---

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