Cremona's table of elliptic curves

3885 = 3 · 5 · 7 · 37

Field	Data	Notes
Atkin-Lehner	3+ 5+ 7- 37-	Signs for the Atkin-Lehner involutions
Class	3885c	Isogeny class
Conductor	3885	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	640	Modular degree for the optimal curve
Δ	-6662775 = -1 · 3 · 52 · 74 · 37	Discriminant
Eigenvalues	1 3+ 5+ 7-  0  2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,42,87]	[a1,a2,a3,a4,a6]
Generators	[26:127:1]	Generators of the group modulo torsion
j	7892485271/6662775	j-invariant
L	3.509354029958	L(r)(E,1)/r!
Ω	1.5367238607548	Real period
R	1.1418297455974	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	62160ci1 11655o1 19425o1 27195t1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 3885c1

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	+	+	-	0	2	-2	0	0	2	4	-	6	-12	0	6	-12	-6	-12	12	-6	-16	-12	6	14

---

Quadratic twists for elliptic curve 3885c1

-4	-3	5	-7
62160ci1	11655o1	19425o1	27195t1

---

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