Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462cx |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
196 |
Product of Tamagawa factors cp |
deg |
47416320 |
Modular degree for the optimal curve |
Δ |
-9.2230386992116E+28 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 11- 13+ -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8782863953,-317147097428287] |
[a1,a2,a3,a4,a6] |
j |
-21293376668673906679951249/26211168887701209984 |
j-invariant |
L |
1.5282152903759 |
L(r)(E,1)/r! |
Ω |
0.0077970167877002 |
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 |
11154m1 2574d1 |
Quadratic twists by: -3 13 |