Atkin-Lehner |
2+ 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600ci |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
10847520000 = 28 · 37 · 54 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 3 6 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2100,36700] |
[a1,a2,a3,a4,a6] |
j |
8780800/93 |
j-invariant |
L |
5.1429829346628 |
L(r)(E,1)/r! |
Ω |
1.285745683893 |
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 |
55800bc1 37200be1 111600bt1 |
Quadratic twists by: -4 -3 5 |