Atkin-Lehner |
3+ 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
34545c |
Isogeny class |
Conductor |
34545 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
-60962770575 = -1 · 32 · 52 · 78 · 47 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 6 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,857,7288] |
[a1,a2,a3,a4,a6] |
j |
590589719/518175 |
j-invariant |
L |
2.8860057538852 |
L(r)(E,1)/r! |
Ω |
0.72150143847625 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103635bq1 4935j1 |
Quadratic twists by: -3 -7 |