Atkin-Lehner |
3- 5- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
90675bl |
Isogeny class |
Conductor |
90675 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2042880 |
Modular degree for the optimal curve |
Δ |
1.652421015906E+19 |
Discriminant |
Eigenvalues |
0 3- 5- -1 -6 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1761330,-878209794] |
[a1,a2,a3,a4,a6] |
Generators |
[-670:1057:1] |
Generators of the group modulo torsion |
j |
6631447988778795008/181335639605601 |
j-invariant |
L |
2.4035796200255 |
L(r)(E,1)/r! |
Ω |
0.13126972582615 |
Real period |
R |
4.577558938961 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999689786 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30225bc1 90675bw1 |
Quadratic twists by: -3 5 |