Atkin-Lehner |
2- 3+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
99264bh |
Isogeny class |
Conductor |
99264 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9031680 |
Modular degree for the optimal curve |
Δ |
-2.2400928496664E+22 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 11+ -4 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5092609,-8449378655] |
[a1,a2,a3,a4,a6] |
j |
-55719200359209436993/85452760683683712 |
j-invariant |
L |
0.19066632870934 |
L(r)(E,1)/r! |
Ω |
0.047666646485021 |
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 |
99264ba1 24816v1 |
Quadratic twists by: -4 8 |