Cremona's table of elliptic curves

1420 = 2² · 5 · 71

Field	Data	Notes
Atkin-Lehner	2- 5- 71+	Signs for the Atkin-Lehner involutions
Class	1420a	Isogeny class
Conductor	1420	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	454400 = 28 · 52 · 71	Discriminant
Eigenvalues	2-  2 5- -4 -4 -4 -8  8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-380,-2728]	[a1,a2,a3,a4,a6]
Generators	[34:150:1]	Generators of the group modulo torsion
j	23767139536/1775	j-invariant
L	3.3666704857611	L(r)(E,1)/r!
Ω	1.0810863985674	Real period
R	2.0761032545426	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	5680l2 22720d2 12780c2 7100a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1420a2

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	-	-4	-4	-4	-8	8	-4	2	0	-2	-2	-10	8	12	-4	10	-8	+	2	12	-14	-14	12

---

Quadratic twists for elliptic curve 1420a2

-4	8	-3	5	-7	-71
5680l2	22720d2	12780c2	7100a2	69580g2	100820c2

---

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