Atkin-Lehner |
2- 3- 5- 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
88110ct |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
1020 |
Product of Tamagawa factors cp |
deg |
2839680 |
Modular degree for the optimal curve |
Δ |
-955035032371200000 = -1 · 217 · 39 · 55 · 113 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 11- 3 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-723722,241776969] |
[a1,a2,a3,a4,a6] |
Generators |
[437:2751:1] |
Generators of the group modulo torsion |
j |
-57505706745232137049/1310061772800000 |
j-invariant |
L |
9.2879537463294 |
L(r)(E,1)/r! |
Ω |
0.27853507350063 |
Real period |
R |
0.032691886473704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004808 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29370b1 |
Quadratic twists by: -3 |