Atkin-Lehner |
2- 3+ 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
120540a |
Isogeny class |
Conductor |
120540 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
1984943659265280 = 28 · 38 · 5 · 78 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -3 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-160981,24821665] |
[a1,a2,a3,a4,a6] |
j |
312626642944/1345005 |
j-invariant |
L |
0.9374451084644 |
L(r)(E,1)/r! |
Ω |
0.46872292873122 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120540bo1 |
Quadratic twists by: -7 |