Atkin-Lehner |
5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
89425bg |
Isogeny class |
Conductor |
89425 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-164386903515625 = -1 · 58 · 78 · 73 |
Discriminant |
Eigenvalues |
-1 2 5- 7- -3 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-98638,-11980844] |
[a1,a2,a3,a4,a6] |
j |
-2309449585/3577 |
j-invariant |
L |
2.1549546049521 |
L(r)(E,1)/r! |
Ω |
0.13468466537478 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89425j1 12775j1 |
Quadratic twists by: 5 -7 |