Atkin-Lehner |
2+ 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
67626m |
Isogeny class |
Conductor |
67626 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
3740197112910565632 = 28 · 36 · 132 · 179 |
Discriminant |
Eigenvalues |
2+ 3- -4 2 -2 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-446559,67452749] |
[a1,a2,a3,a4,a6] |
j |
559679941521/212556032 |
j-invariant |
L |
0.90788903123332 |
L(r)(E,1)/r! |
Ω |
0.22697225758194 |
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 |
7514f1 3978b1 |
Quadratic twists by: -3 17 |