Atkin-Lehner |
2+ 7- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
85162s |
Isogeny class |
Conductor |
85162 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
158075783992812224 = 26 · 78 · 11 · 794 |
Discriminant |
Eigenvalues |
2+ 2 -2 7- 11- 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-139381,5878125] |
[a1,a2,a3,a4,a6] |
j |
2545370865406153/1343621994176 |
j-invariant |
L |
2.2728290739252 |
L(r)(E,1)/r! |
Ω |
0.28410364159377 |
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 |
12166g2 |
Quadratic twists by: -7 |