Atkin-Lehner |
2- 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
65728bc |
Isogeny class |
Conductor |
65728 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13312 |
Modular degree for the optimal curve |
Δ |
-33652736 = -1 · 215 · 13 · 79 |
Discriminant |
Eigenvalues |
2- 0 1 -1 -3 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-172,912] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:24:1] [2:24:1] |
Generators of the group modulo torsion |
j |
-17173512/1027 |
j-invariant |
L |
10.417382857991 |
L(r)(E,1)/r! |
Ω |
2.0422682739818 |
Real period |
R |
1.2752221378891 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65728u1 32864f1 |
Quadratic twists by: -4 8 |