Atkin-Lehner |
2- 3- 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
116280bp |
Isogeny class |
Conductor |
116280 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1958400 |
Modular degree for the optimal curve |
Δ |
-1418934276499680000 = -1 · 28 · 36 · 54 · 173 · 195 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -2 6 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-529068,158821508] |
[a1,a2,a3,a4,a6] |
j |
-87758805275616256/7603171491875 |
j-invariant |
L |
3.1673648198815 |
L(r)(E,1)/r! |
Ω |
0.2639470980542 |
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 |
12920c1 |
Quadratic twists by: -3 |