Atkin-Lehner |
2- 3+ 7- 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
33726o |
Isogeny class |
Conductor |
33726 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
176256 |
Modular degree for the optimal curve |
Δ |
2125463480458164 = 22 · 32 · 73 · 119 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 11+ 4 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-33460,-807487] |
[a1,a2,a3,a4,a6] |
j |
4142879801959429441/2125463480458164 |
j-invariant |
L |
4.4761161681466 |
L(r)(E,1)/r! |
Ω |
0.37300968067928 |
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 |
101178x1 |
Quadratic twists by: -3 |