Atkin-Lehner |
2+ 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33120o |
Isogeny class |
Conductor |
33120 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-2838317760000000 = -1 · 212 · 36 · 57 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 2 0 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,888,-2563216] |
[a1,a2,a3,a4,a6] |
Generators |
[148:900:1] |
Generators of the group modulo torsion |
j |
25934336/950546875 |
j-invariant |
L |
6.2750017139479 |
L(r)(E,1)/r! |
Ω |
0.20861195300608 |
Real period |
R |
1.0742778677837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33120bl1 66240bg1 3680h1 |
Quadratic twists by: -4 8 -3 |