Atkin-Lehner |
2- 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
19760v |
Isogeny class |
Conductor |
19760 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
199584 |
Modular degree for the optimal curve |
Δ |
-931423299218750000 = -1 · 24 · 511 · 137 · 19 |
Discriminant |
Eigenvalues |
2- -1 5- 1 2 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-66405,46920472] |
[a1,a2,a3,a4,a6] |
j |
-2024009807797682176/58213956201171875 |
j-invariant |
L |
2.5684481800968 |
L(r)(E,1)/r! |
Ω |
0.23349528909971 |
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 |
4940f1 79040bp1 98800cb1 |
Quadratic twists by: -4 8 5 |