Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694be |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3.1458661694048E+25 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 11- 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1332774226,18725582002532] |
[a1,a2,a3,a4,a6] |
Generators |
[13404609330:1753243203613:343000] |
Generators of the group modulo torsion |
j |
30618029936661765625/3678951124992 |
j-invariant |
L |
4.5296673192077 |
L(r)(E,1)/r! |
Ω |
0.063367840862356 |
Real period |
R |
8.9352645522974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998708591 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11154bg4 9438z4 |
Quadratic twists by: -11 13 |