Atkin-Lehner |
5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
74725k |
Isogeny class |
Conductor |
74725 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
-11730919659921875 = -1 · 57 · 79 · 612 |
Discriminant |
Eigenvalues |
0 -1 5+ 7- -1 -1 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,22867,-5045832] |
[a1,a2,a3,a4,a6] |
Generators |
[1146:8571:8] |
Generators of the group modulo torsion |
j |
2097152/18605 |
j-invariant |
L |
3.9777871272302 |
L(r)(E,1)/r! |
Ω |
0.19908728509507 |
Real period |
R |
2.4975145489903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971815 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14945h1 74725a1 |
Quadratic twists by: 5 -7 |