Atkin-Lehner |
2- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
100672ej |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
7772160 |
Modular degree for the optimal curve |
Δ |
326000443404832768 = 212 · 118 · 135 |
Discriminant |
Eigenvalues |
2- -3 4 -2 11- 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7277908,7557098560] |
[a1,a2,a3,a4,a6] |
j |
48555895379904/371293 |
j-invariant |
L |
2.7340342069502 |
L(r)(E,1)/r! |
Ω |
0.27340342034543 |
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 |
100672eh1 50336h1 100672dj1 |
Quadratic twists by: -4 8 -11 |