Atkin-Lehner |
2+ 3- 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
121200bf |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
1278281250000 = 24 · 34 · 510 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-68383,-6905512] |
[a1,a2,a3,a4,a6] |
Generators |
[-51688:2232:343] |
Generators of the group modulo torsion |
j |
141460276688896/5113125 |
j-invariant |
L |
7.0981274148063 |
L(r)(E,1)/r! |
Ω |
0.29523166100198 |
Real period |
R |
6.010642070279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000065396 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60600v1 24240f1 |
Quadratic twists by: -4 5 |