Atkin-Lehner |
2+ 3- 5- 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
33330f |
Isogeny class |
Conductor |
33330 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4443555600 = 24 · 32 · 52 · 112 · 1012 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-433,1268] |
[a1,a2,a3,a4,a6] |
Generators |
[39:190:1] |
Generators of the group modulo torsion |
j |
8948387971081/4443555600 |
j-invariant |
L |
5.715588543261 |
L(r)(E,1)/r! |
Ω |
1.2224822618903 |
Real period |
R |
2.3376979451722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
99990r2 |
Quadratic twists by: -3 |