Atkin-Lehner |
2+ 3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
76320b |
Isogeny class |
Conductor |
76320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
146534400 = 212 · 33 · 52 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 0 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-828,9152] |
[a1,a2,a3,a4,a6] |
j |
567663552/1325 |
j-invariant |
L |
3.6737827115264 |
L(r)(E,1)/r! |
Ω |
1.8368913583383 |
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 |
76320c2 76320x2 |
Quadratic twists by: -4 -3 |