Atkin-Lehner |
2+ 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
71136h |
Isogeny class |
Conductor |
71136 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
86291951616 = 212 · 38 · 132 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 4 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1387164,-628839520] |
[a1,a2,a3,a4,a6] |
j |
98859785528395072/28899 |
j-invariant |
L |
5.0080666821784 |
L(r)(E,1)/r! |
Ω |
0.13911296347685 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71136be4 23712k4 |
Quadratic twists by: -4 -3 |