Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462bg |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5.8024814575246E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1147626,-299055236] |
[a1,a2,a3,a4,a6] |
Generators |
[288955:11972596:125] |
Generators of the group modulo torsion |
j |
47504791830313/16490207448 |
j-invariant |
L |
4.7335025713212 |
L(r)(E,1)/r! |
Ω |
0.15000507005154 |
Real period |
R |
7.8889043045258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11154w4 2574t3 |
Quadratic twists by: -3 13 |