Atkin-Lehner |
2- 3+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
15312o |
Isogeny class |
Conductor |
15312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-125435904 = -1 · 217 · 3 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 3 3 11+ 1 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,56,496] |
[a1,a2,a3,a4,a6] |
Generators |
[20:96:1] |
Generators of the group modulo torsion |
j |
4657463/30624 |
j-invariant |
L |
5.4837247758535 |
L(r)(E,1)/r! |
Ω |
1.347436518417 |
Real period |
R |
1.017436573245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1914f1 61248cg1 45936bs1 |
Quadratic twists by: -4 8 -3 |