Atkin-Lehner |
2+ 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
96480m |
Isogeny class |
Conductor |
96480 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
2110017600 = 26 · 39 · 52 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5457,-155144] |
[a1,a2,a3,a4,a6] |
Generators |
[251:3780:1] |
Generators of the group modulo torsion |
j |
385192720576/45225 |
j-invariant |
L |
7.5838706055904 |
L(r)(E,1)/r! |
Ω |
0.55547449891214 |
Real period |
R |
3.4132397758588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999854188 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96480q1 32160u1 |
Quadratic twists by: -4 -3 |