Atkin-Lehner |
2+ 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
115320a |
Isogeny class |
Conductor |
115320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
8557523493085440000 = 211 · 35 · 54 · 317 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-308881096,-2089362072980] |
[a1,a2,a3,a4,a6] |
j |
1793071414868660498/4708125 |
j-invariant |
L |
0.57619754177888 |
L(r)(E,1)/r! |
Ω |
0.036012371548942 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3720c4 |
Quadratic twists by: -31 |