Atkin-Lehner |
3- 5+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
10815h |
Isogeny class |
Conductor |
10815 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
125280 |
Modular degree for the optimal curve |
Δ |
9468847777528125 = 36 · 55 · 79 · 103 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 0 5 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-510501,140144096] |
[a1,a2,a3,a4,a6] |
j |
14713444462000177414144/9468847777528125 |
j-invariant |
L |
2.4315301556336 |
L(r)(E,1)/r! |
Ω |
0.40525502593893 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
32445q1 54075a1 75705j1 |
Quadratic twists by: -3 5 -7 |