Atkin-Lehner |
2- 5+ 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
45650x |
Isogeny class |
Conductor |
45650 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
566784 |
Modular degree for the optimal curve |
Δ |
-73519781500000000 = -1 · 28 · 59 · 116 · 83 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 11- -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-172063,30339781] |
[a1,a2,a3,a4,a6] |
j |
-36055067764835881/4705266016000 |
j-invariant |
L |
8.0304549070608 |
L(r)(E,1)/r! |
Ω |
0.33460228780334 |
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 |
9130d1 |
Quadratic twists by: 5 |