Atkin-Lehner |
2+ 37+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
128686a |
Isogeny class |
Conductor |
128686 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
11335379274962 = 2 · 376 · 472 |
Discriminant |
Eigenvalues |
2+ 0 0 0 2 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13262,-561782] |
[a1,a2,a3,a4,a6] |
Generators |
[-16054353:45066349:250047] |
Generators of the group modulo torsion |
j |
100544625/4418 |
j-invariant |
L |
4.6991258775763 |
L(r)(E,1)/r! |
Ω |
0.44609155785159 |
Real period |
R |
10.533994029762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000149901 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94a2 |
Quadratic twists by: 37 |