Atkin-Lehner |
2- 3- 5+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
104880cj |
Isogeny class |
Conductor |
104880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
19003619672064000 = 232 · 34 · 53 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1480336,692722964] |
[a1,a2,a3,a4,a6] |
Generators |
[1931:70980:1] |
Generators of the group modulo torsion |
j |
87588070629066163729/4639555584000 |
j-invariant |
L |
9.5917977053462 |
L(r)(E,1)/r! |
Ω |
0.36495258898705 |
Real period |
R |
6.5705779197441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014115 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13110w1 |
Quadratic twists by: -4 |