Atkin-Lehner |
2+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
92512d |
Isogeny class |
Conductor |
92512 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8832 |
Modular degree for the optimal curve |
Δ |
-185024 = -1 · 26 · 72 · 59 |
Discriminant |
Eigenvalues |
2+ 1 2 7- 2 6 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2,20] |
[a1,a2,a3,a4,a6] |
j |
-448/59 |
j-invariant |
L |
5.2382078359164 |
L(r)(E,1)/r! |
Ω |
2.619103937274 |
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 |
92512f1 92512b1 |
Quadratic twists by: -4 -7 |