Atkin-Lehner |
2- 3+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15312p |
Isogeny class |
Conductor |
15312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
47733128036352 = 218 · 39 · 11 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 11- -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-73408,-7623680] |
[a1,a2,a3,a4,a6] |
Generators |
[159894:2639986:343] |
Generators of the group modulo torsion |
j |
10680703423890625/11653595712 |
j-invariant |
L |
4.6110252103586 |
L(r)(E,1)/r! |
Ω |
0.29006255264167 |
Real period |
R |
7.9483290213867 |
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 |
1914m1 61248cb1 45936bk1 |
Quadratic twists by: -4 8 -3 |