Atkin-Lehner |
2- 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
93456bt |
Isogeny class |
Conductor |
93456 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
627880771584 = 214 · 310 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3- -2 2 11- -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-157611,24083930] |
[a1,a2,a3,a4,a6] |
Generators |
[-283:6784:1] [223:162:1] |
Generators of the group modulo torsion |
j |
145009284418153/210276 |
j-invariant |
L |
10.673438897861 |
L(r)(E,1)/r! |
Ω |
0.77610867603976 |
Real period |
R |
3.4381263951492 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995072 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11682r1 31152n1 |
Quadratic twists by: -4 -3 |