Atkin-Lehner |
2+ 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
41454t |
Isogeny class |
Conductor |
41454 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1572864 |
Modular degree for the optimal curve |
Δ |
-8.492971657042E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3027033,2075776429] |
[a1,a2,a3,a4,a6] |
Generators |
[-5906:503047:8] |
Generators of the group modulo torsion |
j |
-35765103905346817/990247845888 |
j-invariant |
L |
4.3852988761304 |
L(r)(E,1)/r! |
Ω |
0.19123006355106 |
Real period |
R |
2.8665072287157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999894 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13818u1 5922g1 |
Quadratic twists by: -3 -7 |