Atkin-Lehner |
2- 3- 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
114576ca |
Isogeny class |
Conductor |
114576 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1084379704590336 = -1 · 219 · 3 · 72 · 114 · 312 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,24016,-668844] |
[a1,a2,a3,a4,a6] |
Generators |
[306:5952:1] |
Generators of the group modulo torsion |
j |
373979421247823/264741138816 |
j-invariant |
L |
7.3677064905725 |
L(r)(E,1)/r! |
Ω |
0.2764551780044 |
Real period |
R |
1.6656647878181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005405 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14322h2 |
Quadratic twists by: -4 |