Atkin-Lehner |
2- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
64220l |
Isogeny class |
Conductor |
64220 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1753920 |
Modular degree for the optimal curve |
Δ |
-310743080390366000 = -1 · 24 · 53 · 137 · 195 |
Discriminant |
Eigenvalues |
2- -3 5- 3 6 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,147368,-15658019] |
[a1,a2,a3,a4,a6] |
Generators |
[207:4870:1] |
Generators of the group modulo torsion |
j |
4583035109376/4023660875 |
j-invariant |
L |
5.1904258237541 |
L(r)(E,1)/r! |
Ω |
0.16840327071219 |
Real period |
R |
5.1369012429185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999156 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4940c1 |
Quadratic twists by: 13 |