Atkin-Lehner |
3+ 11- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
108537b |
Isogeny class |
Conductor |
108537 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
852480 |
Modular degree for the optimal curve |
Δ |
6345237236481 = 32 · 119 · 13 · 23 |
Discriminant |
Eigenvalues |
1 3+ 2 2 11- 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1003334,386408895] |
[a1,a2,a3,a4,a6] |
j |
63052870949070913/3581721 |
j-invariant |
L |
1.1327706895913 |
L(r)(E,1)/r! |
Ω |
0.566385190733 |
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 |
9867e1 |
Quadratic twists by: -11 |