Atkin-Lehner |
2- 3- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
69090br |
Isogeny class |
Conductor |
69090 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
26208 |
Modular degree for the optimal curve |
Δ |
-50366610 = -1 · 2 · 37 · 5 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 6 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,34,-330] |
[a1,a2,a3,a4,a6] |
j |
88545359/1027890 |
j-invariant |
L |
6.8953577761402 |
L(r)(E,1)/r! |
Ω |
0.9850511120707 |
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 |
69090bj1 |
Quadratic twists by: -7 |