Atkin-Lehner |
2+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
45760f |
Isogeny class |
Conductor |
45760 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-120835000000 = -1 · 26 · 57 · 11 · 133 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 11- 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,172,-16702] |
[a1,a2,a3,a4,a6] |
j |
8792838144/1888046875 |
j-invariant |
L |
0.49322086260817 |
L(r)(E,1)/r! |
Ω |
0.49322086272109 |
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 |
45760ba1 715b1 |
Quadratic twists by: -4 8 |