Atkin-Lehner |
2+ 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
65520c |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
745119648000 = 28 · 39 · 53 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8343,290358] |
[a1,a2,a3,a4,a6] |
j |
12745567728/147875 |
j-invariant |
L |
1.8069034110599 |
L(r)(E,1)/r! |
Ω |
0.90345170625799 |
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 |
32760a1 65520i1 |
Quadratic twists by: -4 -3 |