Atkin-Lehner |
5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
74725m |
Isogeny class |
Conductor |
74725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
38462031671875 = 56 · 79 · 61 |
Discriminant |
Eigenvalues |
1 1 5+ 7- -5 4 -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-34326,2426673] |
[a1,a2,a3,a4,a6] |
Generators |
[117:66:1] |
Generators of the group modulo torsion |
j |
2433138625/20923 |
j-invariant |
L |
7.0426938626942 |
L(r)(E,1)/r! |
Ω |
0.65109265355237 |
Real period |
R |
2.7041826623113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002152 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2989c1 10675f1 |
Quadratic twists by: 5 -7 |