Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
56628t |
Isogeny class |
Conductor |
56628 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-6625882951789001472 = -1 · 28 · 321 · 114 · 132 |
Discriminant |
Eigenvalues |
2- 3- 0 1 11- 13- 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-58080,123962564] |
[a1,a2,a3,a4,a6] |
Generators |
[6400:511758:1] |
Generators of the group modulo torsion |
j |
-7929856000/2424965283 |
j-invariant |
L |
6.4149695592841 |
L(r)(E,1)/r! |
Ω |
0.19292346109936 |
Real period |
R |
1.3854737872771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999842 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18876e1 56628h1 |
Quadratic twists by: -3 -11 |