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 |
Δ |
-2151700443648000 = -1 · 212 · 36 · 53 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 6 2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5472,2228148] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:1470:1] |
Generators of the group modulo torsion |
j |
300763/35721 |
j-invariant |
L |
8.3015317527063 |
L(r)(E,1)/r! |
Ω |
0.35590045861936 |
Real period |
R |
0.97189297734086 |
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 |
3675h2 58800ho2 8400by2 |
Quadratic twists by: -4 5 -7 |