Atkin-Lehner |
2+ 3- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
117216j |
Isogeny class |
Conductor |
117216 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
28281258254449728 = 26 · 311 · 113 · 374 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11+ 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-962085,-363128636] |
[a1,a2,a3,a4,a6] |
Generators |
[1115074:416293623:8] |
Generators of the group modulo torsion |
j |
2110845954540952000/606165514713 |
j-invariant |
L |
5.7492080714878 |
L(r)(E,1)/r! |
Ω |
0.15244166306004 |
Real period |
R |
9.4285378904932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000150425 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117216bf1 39072q1 |
Quadratic twists by: -4 -3 |