Atkin-Lehner |
3- 5+ 7- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
128205x |
Isogeny class |
Conductor |
128205 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
2.8960184208207E+27 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-664378609140,-208435279571720325] |
[a1,a2,a3,a4,a6] |
Generators |
[13186923325594253544990:11072511835513106029666005:9947530359907496] |
Generators of the group modulo torsion |
j |
44488023057247349559188379390804037441/3972590426365825799390625 |
j-invariant |
L |
7.1821511221753 |
L(r)(E,1)/r! |
Ω |
0.0052880511144645 |
Real period |
R |
28.295519251681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999750411 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
42735o2 |
Quadratic twists by: -3 |