Atkin-Lehner |
2+ 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462y |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
808704 |
Modular degree for the optimal curve |
Δ |
238785245165620296 = 23 · 39 · 11 · 1310 |
Discriminant |
Eigenvalues |
2+ 3- 3 4 11+ 13+ -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-519453,-142040547] |
[a1,a2,a3,a4,a6] |
j |
154241737/2376 |
j-invariant |
L |
2.8479890056136 |
L(r)(E,1)/r! |
Ω |
0.1779993128513 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11154bi1 33462dc1 |
Quadratic twists by: -3 13 |