Atkin-Lehner |
2- 3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33810bz |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2470159580490000 = 24 · 34 · 54 · 78 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-41161,-2165017] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:672:1] |
Generators of the group modulo torsion |
j |
65553197996161/20996010000 |
j-invariant |
L |
7.5261453849254 |
L(r)(E,1)/r! |
Ω |
0.34367594710744 |
Real period |
R |
2.7373698422416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
101430cn2 4830bh2 |
Quadratic twists by: -3 -7 |