Atkin-Lehner |
2- 7- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
87542f |
Isogeny class |
Conductor |
87542 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-66567642738688 = -1 · 212 · 7 · 137 · 37 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,8249,264255] |
[a1,a2,a3,a4,a6] |
j |
12862247607/13791232 |
j-invariant |
L |
2.4614241384088 |
L(r)(E,1)/r! |
Ω |
0.41023735849747 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6734a1 |
Quadratic twists by: 13 |