Atkin-Lehner |
2+ 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
8946h |
Isogeny class |
Conductor |
8946 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-240882802958794752 = -1 · 218 · 312 · 73 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-62172,24371280] |
[a1,a2,a3,a4,a6] |
j |
-36457310584626625/330429084991488 |
j-invariant |
L |
1.6035758249557 |
L(r)(E,1)/r! |
Ω |
0.26726263749261 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71568be1 2982j1 62622t1 |
Quadratic twists by: -4 -3 -7 |