Atkin-Lehner |
2+ 3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
55770a |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-5167246541783040 = -1 · 216 · 33 · 5 · 112 · 136 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,43092,345168] |
[a1,a2,a3,a4,a6] |
Generators |
[-155:67593:125] |
Generators of the group modulo torsion |
j |
1833318007919/1070530560 |
j-invariant |
L |
3.1279397818155 |
L(r)(E,1)/r! |
Ω |
0.26042631974763 |
Real period |
R |
6.0054217730134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000189 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
330c1 |
Quadratic twists by: 13 |