Atkin-Lehner |
2- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
112700p |
Isogeny class |
Conductor |
112700 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-33147605750000 = -1 · 24 · 56 · 78 · 23 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -2 -3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2042,274037] |
[a1,a2,a3,a4,a6] |
j |
32000/1127 |
j-invariant |
L |
1.9815347794998 |
L(r)(E,1)/r! |
Ω |
0.4953837994233 |
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 |
4508a1 16100b1 |
Quadratic twists by: 5 -7 |