Atkin-Lehner |
2- 3+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
15504n |
Isogeny class |
Conductor |
15504 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
226234368 = 212 · 32 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 -2 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-152,48] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:24:1] |
Generators of the group modulo torsion |
j |
95443993/55233 |
j-invariant |
L |
4.2955119222121 |
L(r)(E,1)/r! |
Ω |
1.4919590172342 |
Real period |
R |
0.71977713070418 |
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 |
969a1 62016cn1 46512bq1 |
Quadratic twists by: -4 8 -3 |