Atkin-Lehner |
2+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
34496g |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
544711898784858112 = 233 · 78 · 11 |
Discriminant |
Eigenvalues |
2+ -1 0 7+ 11- -5 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-244673,-30069311] |
[a1,a2,a3,a4,a6] |
j |
1071912625/360448 |
j-invariant |
L |
1.3229054436408 |
L(r)(E,1)/r! |
Ω |
0.22048424060877 |
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 |
34496ca1 1078g1 34496bh1 |
Quadratic twists by: -4 8 -7 |