Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
93600ca |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-136468800000000 = -1 · 212 · 38 · 58 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 -5 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10500,380000] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:513:1] |
Generators of the group modulo torsion |
j |
109760/117 |
j-invariant |
L |
5.7268756728283 |
L(r)(E,1)/r! |
Ω |
0.38622763163116 |
Real period |
R |
3.7069303188901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003635 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93600eu1 31200br1 93600ea1 |
Quadratic twists by: -4 -3 5 |