Atkin-Lehner |
2- 3+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
84600bc |
Isogeny class |
Conductor |
84600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-74008080000000 = -1 · 210 · 39 · 57 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 2 1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6075,-452250] |
[a1,a2,a3,a4,a6] |
j |
-78732/235 |
j-invariant |
L |
1.9999222477855 |
L(r)(E,1)/r! |
Ω |
0.24999028173477 |
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 |
84600d1 16920b1 |
Quadratic twists by: -3 5 |