Atkin-Lehner |
2- 7- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
72226j |
Isogeny class |
Conductor |
72226 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-19422438112 = -1 · 25 · 77 · 11 · 67 |
Discriminant |
Eigenvalues |
2- 0 4 7- 11+ 3 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4003,-96701] |
[a1,a2,a3,a4,a6] |
j |
-60282398961/165088 |
j-invariant |
L |
6.0012316906684 |
L(r)(E,1)/r! |
Ω |
0.30006158585305 |
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 |
10318g1 |
Quadratic twists by: -7 |