Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
84700w |
Isogeny class |
Conductor |
84700 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
19872 |
Modular degree for the optimal curve |
Δ |
5420800 = 28 · 52 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3 5+ 7- 11- 0 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-55,110] |
[a1,a2,a3,a4,a6] |
j |
23760/7 |
j-invariant |
L |
6.7211640241003 |
L(r)(E,1)/r! |
Ω |
2.2403880172701 |
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 |
84700bf1 84700j1 |
Quadratic twists by: 5 -11 |