Cremona's table of elliptic curves

3770 = 2 · 5 · 13 · 29

Field	Data	Notes
Atkin-Lehner	2- 5- 13- 29-	Signs for the Atkin-Lehner involutions
Class	3770g	Isogeny class
Conductor	3770	Conductor
∏ cp	96	Product of Tamagawa factors cp
Δ	-5685160000 = -1 · 26 · 54 · 132 · 292	Discriminant
Eigenvalues	2- -2 5- -2  4 13- -6  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,145,3577]	[a1,a2,a3,a4,a6]
Generators	[4:63:1]	Generators of the group modulo torsion
j	337008232079/5685160000	j-invariant
L	3.873996782342	L(r)(E,1)/r!
Ω	1.0056684713921	Real period
R	0.16050670493243	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	30160be2 120640e2 33930k2 18850a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3770g2

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	-	-2	4	-	-6	0	-8	-	4	-6	6	-6	0	2	-10	-2	-6	10	-6	14	14	-10	-10

---

Quadratic twists for elliptic curve 3770g2

-4	8	-3	5	13	29
30160be2	120640e2	33930k2	18850a2	49010b2	109330m2

---

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