Atkin-Lehner |
2- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
104104u |
Isogeny class |
Conductor |
104104 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
668928 |
Modular degree for the optimal curve |
Δ |
-2299394808046336 = -1 · 28 · 7 · 112 · 139 |
Discriminant |
Eigenvalues |
2- 2 -3 7+ 11- 13- 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-55657,-5537091] |
[a1,a2,a3,a4,a6] |
j |
-7023616/847 |
j-invariant |
L |
1.2349578915524 |
L(r)(E,1)/r! |
Ω |
0.15436974833558 |
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 |
104104j1 |
Quadratic twists by: 13 |