Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960fg |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
126904320000 = 214 · 36 · 54 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 2 -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-127452,-17513296] |
[a1,a2,a3,a4,a6] |
j |
19169739408976/10625 |
j-invariant |
L |
2.0214029363384 |
L(r)(E,1)/r! |
Ω |
0.25267536713499 |
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 |
48960co1 12240h1 5440s1 |
Quadratic twists by: -4 8 -3 |