Atkin-Lehner |
2- 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
67270bh |
Isogeny class |
Conductor |
67270 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1142784 |
Modular degree for the optimal curve |
Δ |
-2072866377396606400 = -1 · 26 · 52 · 72 · 319 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 2 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-366802,-109951599] |
[a1,a2,a3,a4,a6] |
j |
-206425071/78400 |
j-invariant |
L |
4.5695979867655 |
L(r)(E,1)/r! |
Ω |
0.095199958238918 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67270bi1 |
Quadratic twists by: -31 |