Atkin-Lehner |
3+ 11- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
108537j |
Isogeny class |
Conductor |
108537 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-97695677450943 = -1 · 36 · 117 · 13 · 232 |
Discriminant |
Eigenvalues |
1 3+ -2 4 11- 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-24686,-1577121] |
[a1,a2,a3,a4,a6] |
j |
-939176600257/55146663 |
j-invariant |
L |
1.518338413916 |
L(r)(E,1)/r! |
Ω |
0.18979222591945 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9867c1 |
Quadratic twists by: -11 |