Atkin-Lehner |
3- 83- |
Signs for the Atkin-Lehner involutions |
Class |
62001h |
Isogeny class |
Conductor |
62001 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-45198729 = -1 · 38 · 832 |
Discriminant |
Eigenvalues |
1 3- 2 2 0 -5 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-171,-878] |
[a1,a2,a3,a4,a6] |
Generators |
[3426:1427:216] |
Generators of the group modulo torsion |
j |
-110473/9 |
j-invariant |
L |
8.8428096795205 |
L(r)(E,1)/r! |
Ω |
0.6568714417881 |
Real period |
R |
6.7310048183744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000072 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20667f1 62001j1 |
Quadratic twists by: -3 -83 |