Atkin-Lehner |
2- 5- 23+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
86480i |
Isogeny class |
Conductor |
86480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
442777600 = 214 · 52 · 23 · 47 |
Discriminant |
Eigenvalues |
2- 0 5- 0 4 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-307,-1806] |
[a1,a2,a3,a4,a6] |
j |
781229961/108100 |
j-invariant |
L |
2.3020558440724 |
L(r)(E,1)/r! |
Ω |
1.1510279208592 |
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 |
10810d1 |
Quadratic twists by: -4 |