Atkin-Lehner |
2- 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
48100a |
Isogeny class |
Conductor |
48100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
17859193300000000 = 28 · 58 · 136 · 37 |
Discriminant |
Eigenvalues |
2- -1 5+ -5 3 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-83533,6736937] |
[a1,a2,a3,a4,a6] |
j |
16115476701184/4464798325 |
j-invariant |
L |
1.4481666472756 |
L(r)(E,1)/r! |
Ω |
0.36204166183859 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9620b1 |
Quadratic twists by: 5 |