Atkin-Lehner |
2+ 11+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
107822d |
Isogeny class |
Conductor |
107822 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
705600 |
Modular degree for the optimal curve |
Δ |
-1104580688292224 = -1 · 27 · 115 · 133 · 293 |
Discriminant |
Eigenvalues |
2+ 0 3 -5 11+ 13- -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,7502,-1581228] |
[a1,a2,a3,a4,a6] |
j |
21251631213099/502767723392 |
j-invariant |
L |
0.47463427451204 |
L(r)(E,1)/r! |
Ω |
0.23731716768635 |
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 |
107822p1 |
Quadratic twists by: 13 |