Atkin-Lehner |
2+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
129472u |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
822528 |
Modular degree for the optimal curve |
Δ |
-2450109237517312 = -1 · 210 · 73 · 178 |
Discriminant |
Eigenvalues |
2+ 2 2 7+ 0 4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-268577,-53537143] |
[a1,a2,a3,a4,a6] |
j |
-299944192/343 |
j-invariant |
L |
5.1376959881909 |
L(r)(E,1)/r! |
Ω |
0.10485096770013 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129472dt1 16184c1 129472bf1 |
Quadratic twists by: -4 8 17 |