Atkin-Lehner |
2+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
86240p |
Isogeny class |
Conductor |
86240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-20292099520 = -1 · 26 · 5 · 78 · 11 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 11- 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,670,1352] |
[a1,a2,a3,a4,a6] |
j |
4410944/2695 |
j-invariant |
L |
5.9877362711662 |
L(r)(E,1)/r! |
Ω |
0.74846704694913 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86240bv1 12320a1 |
Quadratic twists by: -4 -7 |