Atkin-Lehner |
7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
22477d |
Isogeny class |
Conductor |
22477 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
3798613 = 7 · 134 · 19 |
Discriminant |
Eigenvalues |
-2 1 4 7+ -5 13+ 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-56,-152] |
[a1,a2,a3,a4,a6] |
j |
692224/133 |
j-invariant |
L |
1.7659031241992 |
L(r)(E,1)/r! |
Ω |
1.7659031241993 |
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 |
22477k1 |
Quadratic twists by: 13 |