Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
93600bg |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-227448000000000 = -1 · 212 · 37 · 59 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 -1 13+ 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4200,718000] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:500:1] [20:-900:1] |
Generators of the group modulo torsion |
j |
175616/4875 |
j-invariant |
L |
9.7895380651061 |
L(r)(E,1)/r! |
Ω |
0.4201274494171 |
Real period |
R |
0.72816728579241 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000184 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93600bf1 31200ca1 18720bs1 |
Quadratic twists by: -4 -3 5 |