Atkin-Lehner |
2+ 3- 7- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
59598j |
Isogeny class |
Conductor |
59598 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
-74821736005632 = -1 · 216 · 36 · 7 · 112 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6021,454869] |
[a1,a2,a3,a4,a6] |
j |
-33116363266897/102636126208 |
j-invariant |
L |
2.1545252574125 |
L(r)(E,1)/r! |
Ω |
0.53863131494898 |
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 |
6622h1 |
Quadratic twists by: -3 |