Atkin-Lehner |
2+ 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
104742m |
Isogeny class |
Conductor |
104742 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9750528 |
Modular degree for the optimal curve |
Δ |
-2.8298056092481E+22 |
Discriminant |
Eigenvalues |
2+ 3- 3 0 11+ -1 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9287223,13573552157] |
[a1,a2,a3,a4,a6] |
Generators |
[4982:299073:1] |
Generators of the group modulo torsion |
j |
-2933428257/937024 |
j-invariant |
L |
6.7887088084257 |
L(r)(E,1)/r! |
Ω |
0.11172248429979 |
Real period |
R |
7.5955041776618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000056746 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11638t1 104742bb1 |
Quadratic twists by: -3 -23 |