Atkin-Lehner |
2- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
55664j |
Isogeny class |
Conductor |
55664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-2189709541376 = -1 · 218 · 76 · 71 |
Discriminant |
Eigenvalues |
2- 0 -2 7- -6 -4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-931,-72030] |
[a1,a2,a3,a4,a6] |
Generators |
[98:882:1] |
Generators of the group modulo torsion |
j |
-185193/4544 |
j-invariant |
L |
2.0655947662072 |
L(r)(E,1)/r! |
Ω |
0.35625882182239 |
Real period |
R |
2.8990085852195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000778 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6958e1 1136b1 |
Quadratic twists by: -4 -7 |