Atkin-Lehner |
2- 5- 23- 47- |
Signs for the Atkin-Lehner involutions |
Class |
86480n |
Isogeny class |
Conductor |
86480 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-283377664000 = -1 · 221 · 53 · 23 · 47 |
Discriminant |
Eigenvalues |
2- 2 5- -2 3 -4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-320,-25600] |
[a1,a2,a3,a4,a6] |
Generators |
[82:702:1] |
Generators of the group modulo torsion |
j |
-887503681/69184000 |
j-invariant |
L |
10.150849071332 |
L(r)(E,1)/r! |
Ω |
0.43040398306104 |
Real period |
R |
3.9307447071375 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001225 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10810e1 |
Quadratic twists by: -4 |