Atkin-Lehner |
2+ 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
19118b |
Isogeny class |
Conductor |
19118 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
44800 |
Modular degree for the optimal curve |
Δ |
35828049664 = 28 · 116 · 79 |
Discriminant |
Eigenvalues |
2+ -3 -3 3 11- 5 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1051,-9179] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:21:1] [-19:70:1] |
Generators of the group modulo torsion |
j |
72511713/20224 |
j-invariant |
L |
3.4396685192486 |
L(r)(E,1)/r! |
Ω |
0.85612545163667 |
Real period |
R |
1.0044288815017 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
158a1 |
Quadratic twists by: -11 |