Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400g |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-187200 = -1 · 26 · 32 · 52 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 -5 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,12,-18] |
[a1,a2,a3,a4,a6] |
Generators |
[3:6:1] |
Generators of the group modulo torsion |
j |
109760/117 |
j-invariant |
L |
3.7445950644026 |
L(r)(E,1)/r! |
Ω |
1.7284485815799 |
Real period |
R |
1.0832243157849 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000267 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62400ce1 31200u1 62400dp1 |
Quadratic twists by: -4 8 5 |