Atkin-Lehner |
2- 7+ 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
89936s |
Isogeny class |
Conductor |
89936 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
39744 |
Modular degree for the optimal curve |
Δ |
479268944 = 24 · 7 · 11 · 733 |
Discriminant |
Eigenvalues |
2- 2 -3 7+ 11- 2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-197,236] |
[a1,a2,a3,a4,a6] |
Generators |
[40:234:1] [-22:219:8] |
Generators of the group modulo torsion |
j |
53113520128/29954309 |
j-invariant |
L |
12.940724876379 |
L(r)(E,1)/r! |
Ω |
1.4314053481878 |
Real period |
R |
3.0135244109487 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000154 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22484e1 |
Quadratic twists by: -4 |