Atkin-Lehner |
2- 3- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
41808r |
Isogeny class |
Conductor |
41808 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-6705943665408 = -1 · 28 · 34 · 136 · 67 |
Discriminant |
Eigenvalues |
2- 3- -2 0 6 13- -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3731,89735] |
[a1,a2,a3,a4,a6] |
Generators |
[203:3042:1] |
Generators of the group modulo torsion |
j |
22430713438208/26195092443 |
j-invariant |
L |
6.6602097464866 |
L(r)(E,1)/r! |
Ω |
0.50010202300581 |
Real period |
R |
0.27745212643708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10452a1 125424ba1 |
Quadratic twists by: -4 -3 |