Atkin-Lehner |
2- 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
15312y |
Isogeny class |
Conductor |
15312 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-646450488803328 = -1 · 222 · 3 · 116 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11- 6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-227128,-41757100] |
[a1,a2,a3,a4,a6] |
Generators |
[400247958:18114114304:185193] |
Generators of the group modulo torsion |
j |
-316357187835741625/157824826368 |
j-invariant |
L |
6.2772417453147 |
L(r)(E,1)/r! |
Ω |
0.10934243342067 |
Real period |
R |
9.5681696924318 |
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 |
1914b1 61248bg1 45936bf1 |
Quadratic twists by: -4 8 -3 |