Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
86240bk |
Isogeny class |
Conductor |
86240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
318180120473600 = 212 · 52 · 710 · 11 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 11- 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18881,516881] |
[a1,a2,a3,a4,a6] |
j |
1544804416/660275 |
j-invariant |
L |
1.9613967137497 |
L(r)(E,1)/r! |
Ω |
0.49034919440972 |
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 |
86240be2 12320m2 |
Quadratic twists by: -4 -7 |