Atkin-Lehner |
5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
89425i |
Isogeny class |
Conductor |
89425 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.0500213462061E+19 |
Discriminant |
Eigenvalues |
1 2 5+ 7- 2 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-142903625,-657585606250] |
[a1,a2,a3,a4,a6] |
j |
511859852789210983/16653125 |
j-invariant |
L |
4.2792218678081 |
L(r)(E,1)/r! |
Ω |
0.043665530790933 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17885r2 89425x2 |
Quadratic twists by: 5 -7 |