Atkin-Lehner |
2- 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113344ds |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-5266545520918528 = -1 · 214 · 73 · 116 · 232 |
Discriminant |
Eigenvalues |
2- 0 0 7- 11+ -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33500,-4214352] |
[a1,a2,a3,a4,a6] |
Generators |
[642:15456:1] |
Generators of the group modulo torsion |
j |
-253768781250000/321444428767 |
j-invariant |
L |
4.8188488541467 |
L(r)(E,1)/r! |
Ω |
0.16842051517425 |
Real period |
R |
2.3843338660523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999944623 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113344r2 28336i2 |
Quadratic twists by: -4 8 |