Atkin-Lehner |
2- 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
9108m |
Isogeny class |
Conductor |
9108 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
3213630288 = 24 · 38 · 113 · 23 |
Discriminant |
Eigenvalues |
2- 3- 4 0 11+ -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-91848,10714025] |
[a1,a2,a3,a4,a6] |
j |
7346581704933376/275517 |
j-invariant |
L |
3.1434336425367 |
L(r)(E,1)/r! |
Ω |
1.0478112141789 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36432cj1 3036e1 100188bl1 |
Quadratic twists by: -4 -3 -11 |