Atkin-Lehner |
2- 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
64350es |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
2341804608000000 = 212 · 39 · 56 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-240080,-45157453] |
[a1,a2,a3,a4,a6] |
Generators |
[-275:241:1] |
Generators of the group modulo torsion |
j |
134351465835313/205590528 |
j-invariant |
L |
8.5272327567582 |
L(r)(E,1)/r! |
Ω |
0.21570023272325 |
Real period |
R |
1.6471997288694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000172 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21450z1 2574m1 |
Quadratic twists by: -3 5 |