Atkin-Lehner |
3+ 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
34545b |
Isogeny class |
Conductor |
34545 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
2073563625 = 3 · 53 · 76 · 47 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-18008,-937677] |
[a1,a2,a3,a4,a6] |
j |
5489965305721/17625 |
j-invariant |
L |
0.82425221585514 |
L(r)(E,1)/r! |
Ω |
0.41212610793045 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103635bp1 705f1 |
Quadratic twists by: -3 -7 |