Atkin-Lehner |
2+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
20800bf |
Isogeny class |
Conductor |
20800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-22333829939200 = -1 · 236 · 52 · 13 |
Discriminant |
Eigenvalues |
2+ -2 5+ -5 3 13- -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8353,-374337] |
[a1,a2,a3,a4,a6] |
j |
-9836106385/3407872 |
j-invariant |
L |
0.49080993699089 |
L(r)(E,1)/r! |
Ω |
0.24540496849545 |
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 |
20800df1 650b1 20800bn1 |
Quadratic twists by: -4 8 5 |