Atkin-Lehner |
2- 3- 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
48204f |
Isogeny class |
Conductor |
48204 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
35328 |
Modular degree for the optimal curve |
Δ |
130301774928 = 24 · 310 · 13 · 1032 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -4 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2820,54961] |
[a1,a2,a3,a4,a6] |
Generators |
[47:162:1] [14:135:1] |
Generators of the group modulo torsion |
j |
212629504000/11171277 |
j-invariant |
L |
8.9064862631185 |
L(r)(E,1)/r! |
Ω |
1.0265925010626 |
Real period |
R |
1.4459626148154 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16068i1 |
Quadratic twists by: -3 |