Atkin-Lehner |
2+ 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
123786i |
Isogeny class |
Conductor |
123786 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
5406720 |
Modular degree for the optimal curve |
Δ |
-3.9586901252507E+21 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 0 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4489722,4752053428] |
[a1,a2,a3,a4,a6] |
Generators |
[2651:105797:1] |
Generators of the group modulo torsion |
j |
-92744373984625/36682334208 |
j-invariant |
L |
5.2000001612841 |
L(r)(E,1)/r! |
Ω |
0.13073822424627 |
Real period |
R |
2.4858836146922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018846 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41262n1 5382b1 |
Quadratic twists by: -3 -23 |