Atkin-Lehner |
2+ 3+ 23+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
87768a |
Isogeny class |
Conductor |
87768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
59900252903424 = 211 · 39 · 232 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 -2 2 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-608931,182893950] |
[a1,a2,a3,a4,a6] |
j |
619450659344358/1485961 |
j-invariant |
L |
1.0797684680948 |
L(r)(E,1)/r! |
Ω |
0.53988418836278 |
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 |
87768g2 |
Quadratic twists by: -3 |