Atkin-Lehner |
2- 3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
28320u |
Isogeny class |
Conductor |
28320 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
66064896000 = 212 · 37 · 53 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 5 5 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2461,-46165] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:36:1] |
Generators of the group modulo torsion |
j |
402601199104/16129125 |
j-invariant |
L |
6.8005627215221 |
L(r)(E,1)/r! |
Ω |
0.67948270472614 |
Real period |
R |
0.71488865975551 |
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 |
28320g1 56640p1 84960v1 |
Quadratic twists by: -4 8 -3 |