Atkin-Lehner |
2+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
90992f |
Isogeny class |
Conductor |
90992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1152000 |
Modular degree for the optimal curve |
Δ |
-161344890977202944 = -1 · 28 · 1111 · 472 |
Discriminant |
Eigenvalues |
2+ 3 3 -2 11- -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,136004,-889108] |
[a1,a2,a3,a4,a6] |
j |
613454957568/355761659 |
j-invariant |
L |
6.9081710169526 |
L(r)(E,1)/r! |
Ω |
0.19189363745075 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45496e1 8272f1 |
Quadratic twists by: -4 -11 |