Atkin-Lehner |
2- 3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
108576br |
Isogeny class |
Conductor |
108576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
56320 |
Modular degree for the optimal curve |
Δ |
-34193622528 = -1 · 29 · 311 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 -3 13- 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,69,8894] |
[a1,a2,a3,a4,a6] |
Generators |
[25:162:1] |
Generators of the group modulo torsion |
j |
97336/91611 |
j-invariant |
L |
4.412007196679 |
L(r)(E,1)/r! |
Ω |
0.90888554739714 |
Real period |
R |
0.6067880642158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999580427 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108576bq1 36192i1 |
Quadratic twists by: -4 -3 |