Atkin-Lehner |
3- 5- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
107085s |
Isogeny class |
Conductor |
107085 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
3502080 |
Modular degree for the optimal curve |
Δ |
22818979830960225 = 38 · 52 · 119 · 59 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 11- -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4952230,4241372675] |
[a1,a2,a3,a4,a6] |
j |
7581759897119792761/12880719225 |
j-invariant |
L |
1.3010267539394 |
L(r)(E,1)/r! |
Ω |
0.3252567816856 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9735j1 |
Quadratic twists by: -11 |