Atkin-Lehner |
2+ 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600i |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
305086500000000000 = 211 · 39 · 512 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 2 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-864675,308333250] |
[a1,a2,a3,a4,a6] |
j |
113511836214/484375 |
j-invariant |
L |
2.4647601249036 |
L(r)(E,1)/r! |
Ω |
0.30809505699586 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55800b2 111600j2 22320d2 |
Quadratic twists by: -4 -3 5 |