Atkin-Lehner |
2- 7- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
127204d |
Isogeny class |
Conductor |
127204 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
79920 |
Modular degree for the optimal curve |
Δ |
-72078365744 = -1 · 24 · 76 · 11 · 592 |
Discriminant |
Eigenvalues |
2- 0 2 7- 11+ 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-784,-15435] |
[a1,a2,a3,a4,a6] |
j |
-28311552/38291 |
j-invariant |
L |
3.867384613388 |
L(r)(E,1)/r! |
Ω |
0.42970930487244 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2596a1 |
Quadratic twists by: -7 |