Atkin-Lehner |
3+ 5- 7+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
39585h |
Isogeny class |
Conductor |
39585 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-2896315695 = -1 · 32 · 5 · 7 · 13 · 294 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ 0 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-195,2712] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:66:1] [6:39:1] |
Generators of the group modulo torsion |
j |
-820288712881/2896315695 |
j-invariant |
L |
5.3238190335197 |
L(r)(E,1)/r! |
Ω |
1.2512799023951 |
Real period |
R |
8.5093974950427 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
118755b1 |
Quadratic twists by: -3 |