Cremona's table of elliptic curves

3795 = 3 · 5 · 11 · 23

Field	Data	Notes
Atkin-Lehner	3+ 5+ 11- 23-	Signs for the Atkin-Lehner involutions
Class	3795b	Isogeny class
Conductor	3795	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-818296875 = -1 · 32 · 56 · 11 · 232	Discriminant
Eigenvalues	-1 3+ 5+  4 11- -4  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-121,1418]	[a1,a2,a3,a4,a6]
Generators	[2:33:1]	Generators of the group modulo torsion
j	-196021690129/818296875	j-invariant
L	2.0244798590054	L(r)(E,1)/r!
Ω	1.3838240511666	Real period
R	0.7314802258635	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	60720cc2 11385m2 18975q2 41745i2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 3795b2

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

---

Quadratic twists for elliptic curve 3795b2

-4	-3	5	-11	-23
60720cc2	11385m2	18975q2	41745i2	87285l2

---

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