Atkin-Lehner |
2+ 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
116800bi |
Isogeny class |
Conductor |
116800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-191365120000 = -1 · 222 · 54 · 73 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 5 -4 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1633,-33537] |
[a1,a2,a3,a4,a6] |
Generators |
[83:-640:1] |
Generators of the group modulo torsion |
j |
-2941225/1168 |
j-invariant |
L |
3.6977984675198 |
L(r)(E,1)/r! |
Ω |
0.36827190003387 |
Real period |
R |
0.83674554535821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014907 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116800cz1 3650f1 116800i1 |
Quadratic twists by: -4 8 5 |