Atkin-Lehner |
2- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
29216d |
Isogeny class |
Conductor |
29216 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-3117254643712 = -1 · 212 · 113 · 833 |
Discriminant |
Eigenvalues |
2- 0 4 -3 11- -3 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-53948,-4823680] |
[a1,a2,a3,a4,a6] |
Generators |
[290:1980:1] |
Generators of the group modulo torsion |
j |
-4239257631499584/761048497 |
j-invariant |
L |
6.0866642021152 |
L(r)(E,1)/r! |
Ω |
0.15662859216866 |
Real period |
R |
3.238374359496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29216c1 58432k1 |
Quadratic twists by: -4 8 |