Atkin-Lehner |
2- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
39208f |
Isogeny class |
Conductor |
39208 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3128832 |
Modular degree for the optimal curve |
Δ |
-108076037728256 = -1 · 211 · 137 · 292 |
Discriminant |
Eigenvalues |
2- -3 1 5 -4 13+ -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27243307,-54731562938] |
[a1,a2,a3,a4,a6] |
j |
-226210687270871058/10933 |
j-invariant |
L |
1.1894798890926 |
L(r)(E,1)/r! |
Ω |
0.033041108029921 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78416d1 3016b1 |
Quadratic twists by: -4 13 |