Atkin-Lehner |
2- 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
52514z |
Isogeny class |
Conductor |
52514 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
684288 |
Modular degree for the optimal curve |
Δ |
-1341410353076646776 = -1 · 23 · 7 · 1110 · 314 |
Discriminant |
Eigenvalues |
2- 1 -2 7- 11- -3 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-58869,55989209] |
[a1,a2,a3,a4,a6] |
j |
-869875897/51717176 |
j-invariant |
L |
1.3446465144914 |
L(r)(E,1)/r! |
Ω |
0.22410775261773 |
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 |
52514a1 |
Quadratic twists by: -11 |