Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33120bb |
Isogeny class |
Conductor |
33120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-3331938240 = -1 · 26 · 39 · 5 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 6 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,267,-2212] |
[a1,a2,a3,a4,a6] |
Generators |
[56:434:1] |
Generators of the group modulo torsion |
j |
45118016/71415 |
j-invariant |
L |
6.236648175368 |
L(r)(E,1)/r! |
Ω |
0.74551874089393 |
Real period |
R |
4.1827574769548 |
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 |
33120k1 66240ci1 11040e1 |
Quadratic twists by: -4 8 -3 |