Atkin-Lehner |
3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
48825bi |
Isogeny class |
Conductor |
48825 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
3096576 |
Modular degree for the optimal curve |
Δ |
-1.1830008352533E+22 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -2 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15972192,25124516091] |
[a1,a2,a3,a4,a6] |
j |
-39561225788358502201/1038574121484375 |
j-invariant |
L |
1.5217288084397 |
L(r)(E,1)/r! |
Ω |
0.12681073404919 |
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 |
16275v1 9765f1 |
Quadratic twists by: -3 5 |