Atkin-Lehner |
2+ 7- 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
17794c |
Isogeny class |
Conductor |
17794 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
445440 |
Modular degree for the optimal curve |
Δ |
335837786466917924 = 22 · 74 · 318 · 41 |
Discriminant |
Eigenvalues |
2+ 2 -2 7- -6 -4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-617731,-185039175] |
[a1,a2,a3,a4,a6] |
j |
26068917625217381299897/335837786466917924 |
j-invariant |
L |
0.6817074964622 |
L(r)(E,1)/r! |
Ω |
0.17042687411555 |
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 |
124558n1 |
Quadratic twists by: -7 |