Atkin-Lehner |
2- 3+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
82908c |
Isogeny class |
Conductor |
82908 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
327320784 = 24 · 33 · 73 · 472 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -6 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-336,2205] |
[a1,a2,a3,a4,a6] |
Generators |
[7:14:1] |
Generators of the group modulo torsion |
j |
28311552/2209 |
j-invariant |
L |
5.255315829625 |
L(r)(E,1)/r! |
Ω |
1.676024762683 |
Real period |
R |
1.5677918225643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999903438 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82908e1 82908f1 |
Quadratic twists by: -3 -7 |