Atkin-Lehner |
2- 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
110656bd |
Isogeny class |
Conductor |
110656 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
195840 |
Modular degree for the optimal curve |
Δ |
8308937728 = 210 · 7 · 132 · 193 |
Discriminant |
Eigenvalues |
2- 0 0 7+ 4 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-64000,6231864] |
[a1,a2,a3,a4,a6] |
j |
28311552000000000/8114197 |
j-invariant |
L |
3.1490793589376 |
L(r)(E,1)/r! |
Ω |
1.0496934342398 |
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 |
110656r1 27664h1 |
Quadratic twists by: -4 8 |