Atkin-Lehner |
2- 5- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
123970by |
Isogeny class |
Conductor |
123970 |
Conductor |
∏ cp |
135 |
Product of Tamagawa factors cp |
deg |
4898880 |
Modular degree for the optimal curve |
Δ |
-1.5951085804161E+20 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 11- -2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-65220,-607710643] |
[a1,a2,a3,a4,a6] |
Generators |
[10647:1092751:1] |
Generators of the group modulo torsion |
j |
-260782396264369/1355819922325000 |
j-invariant |
L |
17.859773178017 |
L(r)(E,1)/r! |
Ω |
0.082671611915787 |
Real period |
R |
1.600242367063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014545 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2530i1 |
Quadratic twists by: -7 |