Atkin-Lehner |
2+ 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111600c |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-75661452000000 = -1 · 28 · 39 · 56 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3375,-425250] |
[a1,a2,a3,a4,a6] |
Generators |
[177419:1626508:1331] |
Generators of the group modulo torsion |
j |
-54000/961 |
j-invariant |
L |
8.0248840629494 |
L(r)(E,1)/r! |
Ω |
0.26342732175173 |
Real period |
R |
7.6158425606201 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035441 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55800e2 111600d2 4464a2 |
Quadratic twists by: -4 -3 5 |