Atkin-Lehner |
2- 3+ 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
32550cf |
Isogeny class |
Conductor |
32550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7872 |
Modular degree for the optimal curve |
Δ |
-11392500 = -1 · 22 · 3 · 54 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 -2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13,-169] |
[a1,a2,a3,a4,a6] |
j |
-390625/18228 |
j-invariant |
L |
3.9723501398887 |
L(r)(E,1)/r! |
Ω |
0.99308753497293 |
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 |
97650cc1 32550r1 |
Quadratic twists by: -3 5 |