Atkin-Lehner |
2+ 3- 11+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
105534n |
Isogeny class |
Conductor |
105534 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-557649247693824 = -1 · 210 · 310 · 113 · 132 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 3 1 11+ 13- -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,117,-1136187] |
[a1,a2,a3,a4,a6] |
j |
241804367/764950957056 |
j-invariant |
L |
1.9041125751981 |
L(r)(E,1)/r! |
Ω |
0.23801404868421 |
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 |
35178x1 |
Quadratic twists by: -3 |