Atkin-Lehner |
2- 3+ 5+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
108150bx |
Isogeny class |
Conductor |
108150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
43513476562500 = 22 · 3 · 511 · 7 · 1032 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-32463,2215281] |
[a1,a2,a3,a4,a6] |
j |
242142196437289/2784862500 |
j-invariant |
L |
1.2875175682074 |
L(r)(E,1)/r! |
Ω |
0.64375886606091 |
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 |
21630f1 |
Quadratic twists by: 5 |