Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160fq |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-161917747200 = -1 · 214 · 33 · 52 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 11- 6 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2581,54925] |
[a1,a2,a3,a4,a6] |
Generators |
[68:435:1] |
Generators of the group modulo torsion |
j |
-7929856/675 |
j-invariant |
L |
6.9194202109425 |
L(r)(E,1)/r! |
Ω |
1.0005435108579 |
Real period |
R |
3.4578307155254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000061876 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116160dn1 29040dn1 116160ft1 |
Quadratic twists by: -4 8 -11 |