Atkin-Lehner |
2- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
64220b |
Isogeny class |
Conductor |
64220 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
44352 |
Modular degree for the optimal curve |
Δ |
-95377745840 = -1 · 24 · 5 · 137 · 19 |
Discriminant |
Eigenvalues |
2- -1 5+ -3 -2 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-901,18446] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:125:1] [-17:169:1] |
Generators of the group modulo torsion |
j |
-1048576/1235 |
j-invariant |
L |
6.896718273858 |
L(r)(E,1)/r! |
Ω |
0.96740921696643 |
Real period |
R |
0.59408832657493 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4940h1 |
Quadratic twists by: 13 |