Atkin-Lehner |
2- 7+ 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
12166k |
Isogeny class |
Conductor |
12166 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
453402488 = 23 · 72 · 114 · 79 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 11+ 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3353,73327] |
[a1,a2,a3,a4,a6] |
Generators |
[17:138:1] |
Generators of the group modulo torsion |
j |
4169005495908625/453402488 |
j-invariant |
L |
9.3742314732845 |
L(r)(E,1)/r! |
Ω |
1.6010598375688 |
Real period |
R |
1.9516721056304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97328bi2 109494k2 85162z2 |
Quadratic twists by: -4 -3 -7 |