Atkin-Lehner |
11+ 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
124553b |
Isogeny class |
Conductor |
124553 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23088 |
Modular degree for the optimal curve |
Δ |
-17811079 = -1 · 112 · 133 · 67 |
Discriminant |
Eigenvalues |
1 2 2 0 11+ 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-29,200] |
[a1,a2,a3,a4,a6] |
j |
-1295029/8107 |
j-invariant |
L |
1.8837055683849 |
L(r)(E,1)/r! |
Ω |
1.8837042013391 |
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 |
124553e1 |
Quadratic twists by: 13 |