Atkin-Lehner |
2- 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
59048i |
Isogeny class |
Conductor |
59048 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
513216 |
Modular degree for the optimal curve |
Δ |
-8563349197613936 = -1 · 24 · 119 · 613 |
Discriminant |
Eigenvalues |
2- 1 -2 1 11+ 4 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-782184,-266561539] |
[a1,a2,a3,a4,a6] |
j |
-1402803698432/226981 |
j-invariant |
L |
0.32106876154074 |
L(r)(E,1)/r! |
Ω |
0.080267191014077 |
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 |
118096a1 59048a1 |
Quadratic twists by: -4 -11 |