Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400gb |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
85377600000000 = 212 · 32 · 58 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-51408,4447188] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:2250:1] |
Generators of the group modulo torsion |
j |
234770924809/1334025 |
j-invariant |
L |
8.2796751533467 |
L(r)(E,1)/r! |
Ω |
0.60947832902548 |
Real period |
R |
1.6981069625787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001057 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5775i2 18480bt2 |
Quadratic twists by: -4 5 |