Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
93600bz |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
1184625000000 = 26 · 36 · 59 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 13+ -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4125,87500] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:378:1] |
Generators of the group modulo torsion |
j |
85184/13 |
j-invariant |
L |
5.8103479027145 |
L(r)(E,1)/r! |
Ω |
0.82959310735121 |
Real period |
R |
3.5019263284523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002348 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93600er1 10400bd1 93600fb1 |
Quadratic twists by: -4 -3 5 |