Atkin-Lehner |
2- 3- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
33768v |
Isogeny class |
Conductor |
33768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
328400013312 = 211 · 36 · 72 · 672 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1723755,-871086778] |
[a1,a2,a3,a4,a6] |
Generators |
[5071361947834:-604878281025586:353393243] |
Generators of the group modulo torsion |
j |
379396087783303250/219961 |
j-invariant |
L |
5.4397349604765 |
L(r)(E,1)/r! |
Ω |
0.13175911526163 |
Real period |
R |
20.642727259041 |
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 |
67536g2 3752h2 |
Quadratic twists by: -4 -3 |