Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
93600cg |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
-1461632023800000000 = -1 · 29 · 39 · 58 · 135 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 0 13+ 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,70125,-57726250] |
[a1,a2,a3,a4,a6] |
Generators |
[1253175781:44038999546:1030301] |
Generators of the group modulo torsion |
j |
261568120/10024911 |
j-invariant |
L |
8.1897326529939 |
L(r)(E,1)/r! |
Ω |
0.12932091605834 |
Real period |
R |
15.832188818196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010114 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93600ch1 31200bs1 93600ep1 |
Quadratic twists by: -4 -3 5 |