Atkin-Lehner |
2- 7- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
65758t |
Isogeny class |
Conductor |
65758 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
54154540594 = 2 · 79 · 11 · 61 |
Discriminant |
Eigenvalues |
2- 1 1 7- 11- -2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2255,39479] |
[a1,a2,a3,a4,a6] |
j |
10779215329/460306 |
j-invariant |
L |
4.4348100733875 |
L(r)(E,1)/r! |
Ω |
1.1087025207053 |
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 |
9394k1 |
Quadratic twists by: -7 |