Atkin-Lehner |
2- 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
65728u |
Isogeny class |
Conductor |
65728 |
Conductor |
∏ cp |
2 |
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 |
[2920:11052:125] |
Generators of the group modulo torsion |
j |
-17173512/1027 |
j-invariant |
L |
7.8300583685325 |
L(r)(E,1)/r! |
Ω |
0.65687843506772 |
Real period |
R |
5.9600513205538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997383 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65728bc1 32864b1 |
Quadratic twists by: -4 8 |