Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304hv |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
3817474752 = 26 · 3 · 76 · 132 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-408,-1254] |
[a1,a2,a3,a4,a6] |
Generators |
[-11710:45333:1000] |
Generators of the group modulo torsion |
j |
1000000/507 |
j-invariant |
L |
8.6614281647427 |
L(r)(E,1)/r! |
Ω |
1.1205658934825 |
Real period |
R |
7.7295125216915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000068914 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122304fv1 61152bc2 2496q1 |
Quadratic twists by: -4 8 -7 |