Atkin-Lehner |
2- 3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33810dd |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
1280 |
Product of Tamagawa factors cp |
Δ |
158090213151360000 = 210 · 34 · 54 · 78 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-304585,-61833703] |
[a1,a2,a3,a4,a6] |
Generators |
[-346:1643:1] |
Generators of the group modulo torsion |
j |
26562019806177409/1343744640000 |
j-invariant |
L |
11.563348974854 |
L(r)(E,1)/r! |
Ω |
0.20386140765899 |
Real period |
R |
0.7090202301921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
101430bh2 4830s2 |
Quadratic twists by: -3 -7 |