Atkin-Lehner |
2- 3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
58608bn |
Isogeny class |
Conductor |
58608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-175002550272 = -1 · 216 · 38 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11- 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,645,19114] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:108:1] |
Generators of the group modulo torsion |
j |
9938375/58608 |
j-invariant |
L |
6.1143787247977 |
L(r)(E,1)/r! |
Ω |
0.73437058011476 |
Real period |
R |
2.0815031573787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7326g1 19536bb1 |
Quadratic twists by: -4 -3 |