Atkin-Lehner |
2- 3- 7- 13- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
116298bs |
Isogeny class |
Conductor |
116298 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
178667311140864 = 212 · 39 · 74 · 13 · 71 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14081,1041] |
[a1,a2,a3,a4,a6] |
Generators |
[-105:612:1] |
Generators of the group modulo torsion |
j |
423513992937673/245085474816 |
j-invariant |
L |
9.2930479037618 |
L(r)(E,1)/r! |
Ω |
0.48116698792676 |
Real period |
R |
1.609463398899 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036417 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38766m1 |
Quadratic twists by: -3 |