Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111600ef |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
813564000000 = 28 · 38 · 56 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36975,2736250] |
[a1,a2,a3,a4,a6] |
Generators |
[290:4050:1] |
Generators of the group modulo torsion |
j |
1917170512/279 |
j-invariant |
L |
7.7531043267702 |
L(r)(E,1)/r! |
Ω |
0.86263744489842 |
Real period |
R |
2.2469185564065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963842 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27900o2 37200cw2 4464t2 |
Quadratic twists by: -4 -3 5 |