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	7140k	Isogeny class
Conductor	7140	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	768	Modular degree for the optimal curve
Δ	599760 = 24 · 32 · 5 · 72 · 17	Discriminant
Eigenvalues	2- 3- 5+ 7- -4  0 17- -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-21,0]	[a1,a2,a3,a4,a6]
Generators	[-4:6:1]	Generators of the group modulo torsion
j	67108864/37485	j-invariant
L	4.6545722256708	L(r)(E,1)/r!
Ω	2.5068995997092	Real period
R	1.8567046826329	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	28560ck1 114240cm1 21420y1 35700d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7140k1

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
-	-	+	-	-4	0	-	-4	8	-4	-4	6	-2	-6	2	-4	4	-12	-6	0	6	-6	6	-6	-2

---

Quadratic twists for elliptic curve 7140k1

-4	8	-3	5	-7	17
28560ck1	114240cm1	21420y1	35700d1	49980n1	121380n1

---

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