Atkin-Lehner |
3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
26775k |
Isogeny class |
Conductor |
26775 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-76417702076953125 = -1 · 39 · 58 · 7 · 175 |
Discriminant |
Eigenvalues |
1 3+ 5- 7+ 0 -6 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5176617,-4532053834] |
[a1,a2,a3,a4,a6] |
j |
-1995310715276835/9938999 |
j-invariant |
L |
0.30026808009392 |
L(r)(E,1)/r! |
Ω |
0.050044680015761 |
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 |
26775n1 26775h1 |
Quadratic twists by: -3 5 |