Atkin-Lehner |
3- 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
17775bf |
Isogeny class |
Conductor |
17775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
355200 |
Modular degree for the optimal curve |
Δ |
-2.5501197007782E+19 |
Discriminant |
Eigenvalues |
0 3- 5- -1 -6 5 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,516750,-196437969] |
[a1,a2,a3,a4,a6] |
j |
53589240872960/89551528587 |
j-invariant |
L |
0.44625344669046 |
L(r)(E,1)/r! |
Ω |
0.11156336167262 |
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 |
5925i1 17775z1 |
Quadratic twists by: -3 5 |