Atkin-Lehner |
2- 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30160q |
Isogeny class |
Conductor |
30160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
5597696000 = 212 · 53 · 13 · 292 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 -2 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-455536,-118492140] |
[a1,a2,a3,a4,a6] |
j |
2552306517708204529/1366625 |
j-invariant |
L |
0.36753507792513 |
L(r)(E,1)/r! |
Ω |
0.18376753896271 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1885b1 120640dc1 |
Quadratic twists by: -4 8 |