Atkin-Lehner |
2- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
64220k |
Isogeny class |
Conductor |
64220 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6023808 |
Modular degree for the optimal curve |
Δ |
-107598019525750000 = -1 · 24 · 56 · 137 · 193 |
Discriminant |
Eigenvalues |
2- -2 5- -2 -6 13+ 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-105815350,418923343125] |
[a1,a2,a3,a4,a6] |
Generators |
[5945:845:1] |
Generators of the group modulo torsion |
j |
-1696639751279573488384/1393234375 |
j-invariant |
L |
2.6683080778594 |
L(r)(E,1)/r! |
Ω |
0.20848037587448 |
Real period |
R |
1.0665704412627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998747 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4940e1 |
Quadratic twists by: 13 |