Atkin-Lehner |
2+ 3- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
11712j |
Isogeny class |
Conductor |
11712 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
971440128 = 216 · 35 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1264897,547137503] |
[a1,a2,a3,a4,a6] |
j |
3415148655243588868/14823 |
j-invariant |
L |
3.7464574163828 |
L(r)(E,1)/r! |
Ω |
0.74929148327656 |
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 |
11712s3 1464f4 35136n4 |
Quadratic twists by: -4 8 -3 |