Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
67760bq |
Isogeny class |
Conductor |
67760 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-6938624000000 = -1 · 219 · 56 · 7 · 112 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 11- 7 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10377176,-12863233040] |
[a1,a2,a3,a4,a6] |
j |
-249353795628717731809/14000000 |
j-invariant |
L |
1.514091986732 |
L(r)(E,1)/r! |
Ω |
0.042058110711388 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8470d2 67760be2 |
Quadratic twists by: -4 -11 |