Atkin-Lehner |
3+ 7- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
55419a |
Isogeny class |
Conductor |
55419 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-133061019 = -1 · 3 · 76 · 13 · 29 |
Discriminant |
Eigenvalues |
0 3+ -1 7- -4 13+ -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-261,1805] |
[a1,a2,a3,a4,a6] |
Generators |
[5:24:1] |
Generators of the group modulo torsion |
j |
-16777216/1131 |
j-invariant |
L |
2.2044728855928 |
L(r)(E,1)/r! |
Ω |
1.8171402021752 |
Real period |
R |
0.6065775450216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1131b1 |
Quadratic twists by: -7 |