Atkin-Lehner |
2- 7- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
52234ba |
Isogeny class |
Conductor |
52234 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
539136 |
Modular degree for the optimal curve |
Δ |
-805473860452352 = -1 · 218 · 78 · 13 · 41 |
Discriminant |
Eigenvalues |
2- -1 0 7- 6 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-767488,-259118175] |
[a1,a2,a3,a4,a6] |
j |
-424962187484640625/6846414848 |
j-invariant |
L |
2.9033790500054 |
L(r)(E,1)/r! |
Ω |
0.080649418023048 |
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 |
7462i1 |
Quadratic twists by: -7 |