Atkin-Lehner |
2- 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
15088d |
Isogeny class |
Conductor |
15088 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
1421410304 = 216 · 232 · 41 |
Discriminant |
Eigenvalues |
2- -2 -2 0 0 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-504,3796] |
[a1,a2,a3,a4,a6] |
Generators |
[6:32:1] |
Generators of the group modulo torsion |
j |
3463512697/347024 |
j-invariant |
L |
2.3633432493338 |
L(r)(E,1)/r! |
Ω |
1.4731198526617 |
Real period |
R |
0.80215579372702 |
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 |
1886d1 60352l1 |
Quadratic twists by: -4 8 |