Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
7800u |
Isogeny class |
Conductor |
7800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
29250000 = 24 · 32 · 56 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-983,11538] |
[a1,a2,a3,a4,a6] |
Generators |
[19:9:1] |
Generators of the group modulo torsion |
j |
420616192/117 |
j-invariant |
L |
4.4628249236157 |
L(r)(E,1)/r! |
Ω |
2.0482386577223 |
Real period |
R |
1.0894299125714 |
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 |
15600e1 62400bg1 23400m1 312d1 |
Quadratic twists by: -4 8 -3 5 |