Atkin-Lehner |
2+ 11+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
107822b |
Isogeny class |
Conductor |
107822 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
731136 |
Modular degree for the optimal curve |
Δ |
-1311819492425728 = -1 · 216 · 11 · 137 · 29 |
Discriminant |
Eigenvalues |
2+ -2 -2 3 11+ 13+ 7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,16558,1538916] |
[a1,a2,a3,a4,a6] |
j |
104021936927/271777792 |
j-invariant |
L |
1.3521795647461 |
L(r)(E,1)/r! |
Ω |
0.33804486721751 |
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 |
8294g1 |
Quadratic twists by: 13 |