Atkin-Lehner |
2- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
94178bc |
Isogeny class |
Conductor |
94178 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
24109568 = 29 · 72 · 312 |
Discriminant |
Eigenvalues |
2- -2 0 7- -6 2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-113,-407] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:5:1] [-6:11:1] |
Generators of the group modulo torsion |
j |
3390625/512 |
j-invariant |
L |
11.593063983859 |
L(r)(E,1)/r! |
Ω |
1.4790616753065 |
Real period |
R |
0.87090230373626 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000282 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94178o1 94178r1 |
Quadratic twists by: -7 -31 |