Atkin-Lehner |
2- 3+ 7+ 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33558t |
Isogeny class |
Conductor |
33558 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
61991290704 = 24 · 3 · 7 · 174 · 472 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 2 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1509,-19749] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:60:1] |
Generators of the group modulo torsion |
j |
380022594806737/61991290704 |
j-invariant |
L |
6.3045555920519 |
L(r)(E,1)/r! |
Ω |
0.77446044742516 |
Real period |
R |
1.017572235776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100674f2 |
Quadratic twists by: -3 |