Cremona's table of elliptic curves

3760 = 2⁴ · 5 · 47

Field	Data	Notes
Atkin-Lehner	2- 5- 47+	Signs for the Atkin-Lehner involutions
Class	3760m	Isogeny class
Conductor	3760	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	768	Modular degree for the optimal curve
Δ	24064000 = 212 · 53 · 47	Discriminant
Eigenvalues	2-  1 5- -1  3 -3 -6  7	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-80,-172]	[a1,a2,a3,a4,a6]
Generators	[-4:10:1]	Generators of the group modulo torsion
j	13997521/5875	j-invariant
L	4.2079054806463	L(r)(E,1)/r!
Ω	1.6554206468409	Real period
R	0.4236491682317	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	235a1 15040x1 33840bz1 18800ba1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3760m1

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	-	-1	3	-3	-6	7	-4	-10	-3	12	-8	0	+	-4	-6	5	8	-12	5	-14	17	-10	0

---

Quadratic twists for elliptic curve 3760m1

-4	8	-3	5
235a1	15040x1	33840bz1	18800ba1

---

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