Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
22932s |
Isogeny class |
Conductor |
22932 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
160554178512 = 24 · 38 · 76 · 13 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 4 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2352,39445] |
[a1,a2,a3,a4,a6] |
j |
1048576/117 |
j-invariant |
L |
1.9806504802521 |
L(r)(E,1)/r! |
Ω |
0.99032524012605 |
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 |
91728ev1 7644g1 468e1 |
Quadratic twists by: -4 -3 -7 |