Atkin-Lehner |
2+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129472be |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
21083292934602752 = 220 · 72 · 177 |
Discriminant |
Eigenvalues |
2+ 2 0 7- -2 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-333313,-73626111] |
[a1,a2,a3,a4,a6] |
j |
647214625/3332 |
j-invariant |
L |
3.1801006785529 |
L(r)(E,1)/r! |
Ω |
0.19875633173895 |
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 |
129472cf1 4046q1 7616b1 |
Quadratic twists by: -4 8 17 |