Atkin-Lehner |
2- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67240i |
Isogeny class |
Conductor |
67240 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
15969850458242000 = 24 · 53 · 418 |
Discriminant |
Eigenvalues |
2- 2 5- 2 0 0 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-93015,-9038488] |
[a1,a2,a3,a4,a6] |
Generators |
[-4677:36685:27] |
Generators of the group modulo torsion |
j |
1171019776/210125 |
j-invariant |
L |
10.450338820836 |
L(r)(E,1)/r! |
Ω |
0.27674650925588 |
Real period |
R |
6.2935685855356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999808 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1640f1 |
Quadratic twists by: 41 |