Atkin-Lehner |
3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88725co |
Isogeny class |
Conductor |
88725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-20794921875 = -1 · 32 · 59 · 7 · 132 |
Discriminant |
Eigenvalues |
2 3- 5- 7- -3 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-12458,531119] |
[a1,a2,a3,a4,a6] |
j |
-647868416/63 |
j-invariant |
L |
4.6449469319167 |
L(r)(E,1)/r! |
Ω |
1.1612367363218 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88725bg1 88725ce1 |
Quadratic twists by: 5 13 |