Atkin-Lehner |
2+ 3- 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
6162j |
Isogeny class |
Conductor |
6162 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6336 |
Modular degree for the optimal curve |
Δ |
51690602496 = 224 · 3 · 13 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1430,17576] |
[a1,a2,a3,a4,a6] |
Generators |
[-4970:16089:125] |
Generators of the group modulo torsion |
j |
323068919441113/51690602496 |
j-invariant |
L |
3.9509290475632 |
L(r)(E,1)/r! |
Ω |
1.0750772274688 |
Real period |
R |
7.3500376468122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49296u1 18486u1 80106bi1 |
Quadratic twists by: -4 -3 13 |