Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
19110dd |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
450751392000 = 28 · 35 · 53 · 73 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4915,128225] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:425:1] |
Generators of the group modulo torsion |
j |
38282975119927/1314144000 |
j-invariant |
L |
9.5716007917951 |
L(r)(E,1)/r! |
Ω |
0.93244517696494 |
Real period |
R |
0.085542122906626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57330bd1 95550bq1 19110bv1 |
Quadratic twists by: -3 5 -7 |