Cremona's table of elliptic curves

5395 = 5 · 13 · 83

Field	Data	Notes
Atkin-Lehner	5- 13+ 83-	Signs for the Atkin-Lehner involutions
Class	5395c	Isogeny class
Conductor	5395	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	696	Modular degree for the optimal curve
Δ	-134875 = -1 · 53 · 13 · 83	Discriminant
Eigenvalues	-2  0 5- -3  2 13+  0  7	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,-17,32]	[a1,a2,a3,a4,a6]
Generators	[2:2:1]	Generators of the group modulo torsion
j	-543338496/134875	j-invariant
L	1.815217517041	L(r)(E,1)/r!
Ω	3.1256703548885	Real period
R	0.19358167592242	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	86320t1 48555e1 26975c1 70135a1	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 5395c1

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	0	-	-3	2	+	0	7	2	-2	-10	-7	8	0	-4	11	8	7	-8	-8	2	10	-	5	-12

---

Quadratic twists for elliptic curve 5395c1

-4	-3	5	13
86320t1	48555e1	26975c1	70135a1

---

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