Cremona's table of elliptic curves

140 = 2² · 5 · 7

Field	Data	Notes
Atkin-Lehner	2- 5- 7-	Signs for the Atkin-Lehner involutions
Class	140a	Isogeny class
Conductor	140	Conductor
∏ cp	9	Product of Tamagawa factors cp
deg	12	Modular degree for the optimal curve
Δ	-224000 = -1 · 28 · 53 · 7	Discriminant
Eigenvalues	2-  1 5- 7-  3 -1 -3  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-5,-25]	[a1,a2,a3,a4,a6]
j	-65536/875	j-invariant
L	1.3443015422305	L(r)(E,1)/r!
Ω	1.3443015422305	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	560f1 2240c1 1260g1 700a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 140a1

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	-	-	3	-1	-3	2	-6	-9	8	-10	0	2	-3	0	12	8	8	0	14	5	-12	12	17

---

Quadratic twists for elliptic curve 140a1

-4	8	-3	5	-7	-11	13	17	-19	-23	29
560f1	2240c1	1260g1	700a1	980d1	16940d1	23660b1	40460b1	50540o1	74060c1	117740j1

---

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