Atkin-Lehner |
2- 3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
84600by |
Isogeny class |
Conductor |
84600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
9687931776000 = 210 · 36 · 53 · 473 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 1 1 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12315,-504250] |
[a1,a2,a3,a4,a6] |
j |
2213550644/103823 |
j-invariant |
L |
1.8180722479693 |
L(r)(E,1)/r! |
Ω |
0.45451805603167 |
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 |
9400e1 84600y1 |
Quadratic twists by: -3 5 |