Atkin-Lehner |
2- 3+ 5+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
19140b |
Isogeny class |
Conductor |
19140 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
659411280 = 24 · 34 · 5 · 112 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11+ 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-241,826] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:29:1] [-11:45:1] |
Generators of the group modulo torsion |
j |
97152876544/41213205 |
j-invariant |
L |
5.5929871094863 |
L(r)(E,1)/r! |
Ω |
1.4603527808946 |
Real period |
R |
0.63831461167686 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76560ca1 57420s1 95700s1 |
Quadratic twists by: -4 -3 5 |