Atkin-Lehner |
2+ 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
114950i |
Isogeny class |
Conductor |
114950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-18512812450 = -1 · 2 · 52 · 117 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5+ -3 11- 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,643,1711] |
[a1,a2,a3,a4,a6] |
Generators |
[3:59:1] [455790:9510013:1000] |
Generators of the group modulo torsion |
j |
663255/418 |
j-invariant |
L |
8.0015625933163 |
L(r)(E,1)/r! |
Ω |
0.76019265304216 |
Real period |
R |
2.631425916228 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999989394 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114950dh1 10450x1 |
Quadratic twists by: 5 -11 |