Atkin-Lehner |
2- 7+ 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
12166l |
Isogeny class |
Conductor |
12166 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
936782 = 2 · 72 · 112 · 79 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4996171,4299621197] |
[a1,a2,a3,a4,a6] |
Generators |
[70860234:-33329383:54872] |
Generators of the group modulo torsion |
j |
13792262469399617349741057/936782 |
j-invariant |
L |
5.6208858106152 |
L(r)(E,1)/r! |
Ω |
0.70933728845867 |
Real period |
R |
7.9241369403108 |
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 |
97328bc4 109494g4 85162ba4 |
Quadratic twists by: -4 -3 -7 |