Atkin-Lehner |
2- 3- 5+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
113220f |
Isogeny class |
Conductor |
113220 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
786432 |
Modular degree for the optimal curve |
Δ |
252564382800 = 24 · 310 · 52 · 172 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-801948,-276418703] |
[a1,a2,a3,a4,a6] |
j |
4890067196981886976/21653325 |
j-invariant |
L |
1.9144503725727 |
L(r)(E,1)/r! |
Ω |
0.15953758096067 |
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 |
37740i1 |
Quadratic twists by: -3 |