Atkin-Lehner |
2- 7- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
54782br |
Isogeny class |
Conductor |
54782 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-206241520576 = -1 · 26 · 78 · 13 · 43 |
Discriminant |
Eigenvalues |
2- -2 -2 7- 0 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-344,-22016] |
[a1,a2,a3,a4,a6] |
Generators |
[46:222:1] |
Generators of the group modulo torsion |
j |
-38272753/1753024 |
j-invariant |
L |
4.3815091962256 |
L(r)(E,1)/r! |
Ω |
0.4385784591236 |
Real period |
R |
1.6650419497623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7826k1 |
Quadratic twists by: -7 |