Atkin-Lehner |
2+ 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
55328b |
Isogeny class |
Conductor |
55328 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-824165888 = -1 · 29 · 73 · 13 · 192 |
Discriminant |
Eigenvalues |
2+ -1 0 7+ -5 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8,1384] |
[a1,a2,a3,a4,a6] |
Generators |
[5:38:1] |
Generators of the group modulo torsion |
j |
-125000/1609699 |
j-invariant |
L |
3.6252624246099 |
L(r)(E,1)/r! |
Ω |
1.2691960935073 |
Real period |
R |
1.428172700465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000116 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55328c1 110656bf1 |
Quadratic twists by: -4 8 |