Atkin-Lehner |
5+ 31+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
36425a |
Isogeny class |
Conductor |
36425 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
163968 |
Modular degree for the optimal curve |
Δ |
-83592529296875 = -1 · 513 · 31 · 472 |
Discriminant |
Eigenvalues |
0 3 5+ 2 0 6 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-17800,1014406] |
[a1,a2,a3,a4,a6] |
j |
-39917533003776/5349921875 |
j-invariant |
L |
4.7063390711416 |
L(r)(E,1)/r! |
Ω |
0.58829238389018 |
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 |
7285e1 |
Quadratic twists by: 5 |