Atkin-Lehner |
2- 3- 5+ 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
76590bw |
Isogeny class |
Conductor |
76590 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
7602372417600000000 = 212 · 38 · 58 · 232 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-495788,-21237969] |
[a1,a2,a3,a4,a6] |
j |
18487721718276852601/10428494400000000 |
j-invariant |
L |
4.6511264592109 |
L(r)(E,1)/r! |
Ω |
0.19379693671017 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25530m2 |
Quadratic twists by: -3 |