Atkin-Lehner |
2- 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
64220p |
Isogeny class |
Conductor |
64220 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
-2087150000 = -1 · 24 · 55 · 133 · 19 |
Discriminant |
Eigenvalues |
2- -1 5- 1 -6 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,295,922] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:1:1] [9:-65:1] |
Generators of the group modulo torsion |
j |
80494592/59375 |
j-invariant |
L |
9.0212534620637 |
L(r)(E,1)/r! |
Ω |
0.93662193513951 |
Real period |
R |
0.32105638086585 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64220g1 |
Quadratic twists by: 13 |