Atkin-Lehner |
2+ 3- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
83904s |
Isogeny class |
Conductor |
83904 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-1080436506624 = -1 · 214 · 38 · 19 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 3 3 -3 4 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-309,-50157] |
[a1,a2,a3,a4,a6] |
j |
-199794688/65944611 |
j-invariant |
L |
6.2522713391377 |
L(r)(E,1)/r! |
Ω |
0.39076696035521 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83904x1 5244c1 |
Quadratic twists by: -4 8 |