Atkin-Lehner |
2+ 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520h |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.1678126742857E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -2 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15089868,-15450363792] |
[a1,a2,a3,a4,a6] |
j |
73645941730563747/22632992000000 |
j-invariant |
L |
1.2549626936241 |
L(r)(E,1)/r! |
Ω |
0.078435167916287 |
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 |
83520dp2 2610b2 83520n2 |
Quadratic twists by: -4 8 -3 |