Atkin-Lehner |
2+ 5- 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
12410d |
Isogeny class |
Conductor |
12410 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
1946880 |
Modular degree for the optimal curve |
Δ |
1.762042537E+22 |
Discriminant |
Eigenvalues |
2+ -3 5- -1 -3 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13531864,18067133248] |
[a1,a2,a3,a4,a6] |
Generators |
[5287:304419:1] |
Generators of the group modulo torsion |
j |
274029048770184932711191641/17620425370000000000000 |
j-invariant |
L |
2.0224554340127 |
L(r)(E,1)/r! |
Ω |
0.1207786959204 |
Real period |
R |
0.64404361107934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99280w1 111690bq1 62050bc1 |
Quadratic twists by: -4 -3 5 |