Atkin-Lehner |
2- 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
113344cy |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
15605535604736 = 219 · 76 · 11 · 23 |
Discriminant |
Eigenvalues |
2- -2 2 7+ 11+ 6 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-172257,-27574625] |
[a1,a2,a3,a4,a6] |
Generators |
[63970:538547:125] |
Generators of the group modulo torsion |
j |
2156338561552057/59530394 |
j-invariant |
L |
4.6124891219532 |
L(r)(E,1)/r! |
Ω |
0.23434508218815 |
Real period |
R |
9.8412329929886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027759 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113344bu2 28336bf2 |
Quadratic twists by: -4 8 |