Atkin-Lehner |
3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47775dn |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
758791931625 = 34 · 53 · 78 · 13 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 0 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4803,120672] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:369:1] |
Generators of the group modulo torsion |
j |
833237621/51597 |
j-invariant |
L |
4.7843438747038 |
L(r)(E,1)/r! |
Ω |
0.88342843530302 |
Real period |
R |
0.67695691064203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000032 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47775bg1 6825f1 |
Quadratic twists by: 5 -7 |