Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
86240bk |
Isogeny class |
Conductor |
86240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
223213094720 = 26 · 5 · 78 · 112 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 11- 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16186,797700] |
[a1,a2,a3,a4,a6] |
j |
62287505344/29645 |
j-invariant |
L |
1.9613967137497 |
L(r)(E,1)/r! |
Ω |
0.98069838881944 |
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 |
86240be1 12320m1 |
Quadratic twists by: -4 -7 |