Atkin-Lehner |
2+ 3- 5+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
86730x |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
63 |
Product of Tamagawa factors cp |
deg |
1551312 |
Modular degree for the optimal curve |
Δ |
-1481803174383777000 = -1 · 23 · 321 · 53 · 74 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -3 -4 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,53531,58377176] |
[a1,a2,a3,a4,a6] |
j |
7065766536945431/617160838977000 |
j-invariant |
L |
1.4399114958517 |
L(r)(E,1)/r! |
Ω |
0.20570162770621 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
86730v1 |
Quadratic twists by: -7 |