Atkin-Lehner |
5- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
39715h |
Isogeny class |
Conductor |
39715 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
242352 |
Modular degree for the optimal curve |
Δ |
443085982421875 = 59 · 136 · 47 |
Discriminant |
Eigenvalues |
1 -1 5- -1 -3 13+ 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-600122,-179187419] |
[a1,a2,a3,a4,a6] |
j |
4952031207028849/91796875 |
j-invariant |
L |
1.5437698892617 |
L(r)(E,1)/r! |
Ω |
0.1715299877122 |
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 |
235b1 |
Quadratic twists by: 13 |