Atkin-Lehner |
2+ 5- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
103400k |
Isogeny class |
Conductor |
103400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
330880000 = 210 · 54 · 11 · 47 |
Discriminant |
Eigenvalues |
2+ 1 5- -2 11+ -5 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-208,688] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:40:1] [3:10:1] |
Generators of the group modulo torsion |
j |
1562500/517 |
j-invariant |
L |
12.211608003932 |
L(r)(E,1)/r! |
Ω |
1.5785141387626 |
Real period |
R |
1.2893568394157 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999986607 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103400z1 |
Quadratic twists by: 5 |