Atkin-Lehner |
2- 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
51714w |
Isogeny class |
Conductor |
51714 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-1091809889138124 = -1 · 22 · 39 · 138 · 17 |
Discriminant |
Eigenvalues |
2- 3- 3 2 -3 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,24304,-638881] |
[a1,a2,a3,a4,a6] |
j |
2669927/1836 |
j-invariant |
L |
6.6591196950191 |
L(r)(E,1)/r! |
Ω |
0.27746332066398 |
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 |
17238e1 51714h1 |
Quadratic twists by: -3 13 |