Atkin-Lehner |
13+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
66079d |
Isogeny class |
Conductor |
66079 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
3810240 |
Modular degree for the optimal curve |
Δ |
-1.6914032511523E+22 |
Discriminant |
Eigenvalues |
2 0 -2 0 0 13+ 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6884891,9354242147] |
[a1,a2,a3,a4,a6] |
Generators |
[998660:123128129:64] |
Generators of the group modulo torsion |
j |
-7477472169133314048/3504185169026347 |
j-invariant |
L |
9.4551187472278 |
L(r)(E,1)/r! |
Ω |
0.11520410165457 |
Real period |
R |
5.8623401002251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994374 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5083b1 |
Quadratic twists by: 13 |