Atkin-Lehner |
3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
26775c |
Isogeny class |
Conductor |
26775 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-1757109375 = -1 · 33 · 57 · 72 · 17 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 0 0 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-42,-2009] |
[a1,a2,a3,a4,a6] |
j |
-19683/4165 |
j-invariant |
L |
2.6589663148454 |
L(r)(E,1)/r! |
Ω |
0.66474157871137 |
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 |
26775g1 5355b1 |
Quadratic twists by: -3 5 |