Atkin-Lehner |
2+ 3+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
99264j |
Isogeny class |
Conductor |
99264 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
6217728 |
Modular degree for the optimal curve |
Δ |
-3.5379862578073E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -4 11- -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-27281,-904966767] |
[a1,a2,a3,a4,a6] |
j |
-137056787714896/21594154405562343 |
j-invariant |
L |
0.6228484253413 |
L(r)(E,1)/r! |
Ω |
0.077856042017192 |
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 |
99264ce1 12408g1 |
Quadratic twists by: -4 8 |