Atkin-Lehner |
2- 3- 23- 71- |
Signs for the Atkin-Lehner involutions |
Class |
29394p |
Isogeny class |
Conductor |
29394 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-27385272828 = -1 · 22 · 310 · 23 · 712 |
Discriminant |
Eigenvalues |
2- 3- -4 4 2 2 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-77,7985] |
[a1,a2,a3,a4,a6] |
Generators |
[75:610:1] |
Generators of the group modulo torsion |
j |
-68417929/37565532 |
j-invariant |
L |
7.4160635835698 |
L(r)(E,1)/r! |
Ω |
0.9599066038487 |
Real period |
R |
1.931454464902 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9798c1 |
Quadratic twists by: -3 |