Atkin-Lehner |
2+ 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15080a |
Isogeny class |
Conductor |
15080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1741435572500000000 = 28 · 510 · 134 · 293 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 4 13- 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-306116,-14682220] |
[a1,a2,a3,a4,a6] |
j |
12392052792167400784/6802482705078125 |
j-invariant |
L |
3.4714987137025 |
L(r)(E,1)/r! |
Ω |
0.21696866960641 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30160c2 120640bg2 75400m2 |
Quadratic twists by: -4 8 5 |