Atkin-Lehner |
2+ 3- 11+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
97614f |
Isogeny class |
Conductor |
97614 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
-347266793465856 = -1 · 211 · 37 · 11 · 172 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 1 1 11+ -5 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6534,-917708] |
[a1,a2,a3,a4,a6] |
j |
-42322465662049/476360484864 |
j-invariant |
L |
0.91798060444126 |
L(r)(E,1)/r! |
Ω |
0.22949515582878 |
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 |
32538p1 |
Quadratic twists by: -3 |