Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400a |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
195000000 = 26 · 3 · 57 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6508,204262] |
[a1,a2,a3,a4,a6] |
Generators |
[147:1550:1] |
Generators of the group modulo torsion |
j |
30488290624/195 |
j-invariant |
L |
5.1241879251916 |
L(r)(E,1)/r! |
Ω |
1.5961333190831 |
Real period |
R |
3.2103758899819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000801 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400ca1 31200cb4 12480bh1 |
Quadratic twists by: -4 8 5 |