Atkin-Lehner |
2- 5+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
108290bb |
Isogeny class |
Conductor |
108290 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
7112448 |
Modular degree for the optimal curve |
Δ |
2255176459797625000 = 23 · 56 · 710 · 13 · 173 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 0 13+ 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-35225121,-80483320457] |
[a1,a2,a3,a4,a6] |
j |
17112000867274665121/7983625000 |
j-invariant |
L |
1.1154725122057 |
L(r)(E,1)/r! |
Ω |
0.061970705928757 |
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 |
108290bf1 |
Quadratic twists by: -7 |