Atkin-Lehner |
2+ 17+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
90304c |
Isogeny class |
Conductor |
90304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
554527244288 = 214 · 173 · 832 |
Discriminant |
Eigenvalues |
2+ -2 0 -2 -2 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6993,-224561] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:32:1] |
Generators of the group modulo torsion |
j |
2308641298000/33845657 |
j-invariant |
L |
2.2801505574416 |
L(r)(E,1)/r! |
Ω |
0.52253346467609 |
Real period |
R |
2.1818225187454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999885311 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90304o1 11288b1 |
Quadratic twists by: -4 8 |