Cremona's table of elliptic curves

1395 = 3² · 5 · 31

Field	Data	Notes
Atkin-Lehner	3- 5+ 31-	Signs for the Atkin-Lehner involutions
Class	1395c	Isogeny class
Conductor	1395	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	600	Modular degree for the optimal curve
Δ	-70621875 = -1 · 36 · 55 · 31	Discriminant
Eigenvalues	2 3- 5+ -2 -2 -6  7 -5	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,87,-257]	[a1,a2,a3,a4,a6]
Generators	[82:327:8]	Generators of the group modulo torsion
j	99897344/96875	j-invariant
L	4.4475380011935	L(r)(E,1)/r!
Ω	1.062124064528	Real period
R	4.1873997113228	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	22320bg1 89280cu1 155a1 6975m1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1395c1

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	-2	-6	7	-5	-4	0	-	-7	3	9	2	-9	5	-8	8	3	-1	0	11	-10	18

---

Quadratic twists for elliptic curve 1395c1

-4	8	-3	5	-7	-31
22320bg1	89280cu1	155a1	6975m1	68355bb1	43245e1

---

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