Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
67760bm |
Isogeny class |
Conductor |
67760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-710515097600 = -1 · 225 · 52 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 11- 1 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,224,-40460] |
[a1,a2,a3,a4,a6] |
j |
2496791/1433600 |
j-invariant |
L |
3.3791496412634 |
L(r)(E,1)/r! |
Ω |
0.42239370677123 |
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 |
8470s1 67760bb1 |
Quadratic twists by: -4 -11 |