Atkin-Lehner |
2- 3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33840cf |
Isogeny class |
Conductor |
33840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
179636797440 = 220 · 36 · 5 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -3 -5 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6267,189866] |
[a1,a2,a3,a4,a6] |
j |
9116230969/60160 |
j-invariant |
L |
2.0373511413553 |
L(r)(E,1)/r! |
Ω |
1.0186755706842 |
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 |
4230bf1 3760h1 |
Quadratic twists by: -4 -3 |