Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800kf |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
11384658432000 = 212 · 33 · 53 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 6 2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14128,620948] |
[a1,a2,a3,a4,a6] |
Generators |
[44:294:1] |
Generators of the group modulo torsion |
j |
5177717/189 |
j-invariant |
L |
8.3015317527063 |
L(r)(E,1)/r! |
Ω |
0.71180091723872 |
Real period |
R |
0.48594648867043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999485 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3675h1 58800ho1 8400by1 |
Quadratic twists by: -4 5 -7 |