Atkin-Lehner |
2- 3+ 5- 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
40710ba |
Isogeny class |
Conductor |
40710 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-5.1556100087313E+26 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,153525325,-810701086165] |
[a1,a2,a3,a4,a6] |
Generators |
[12646620672226548:-11836450446694942277:14455457856] |
Generators of the group modulo torsion |
j |
400187747911436445676673566799/515561000873132886967406250 |
j-invariant |
L |
9.0798881922799 |
L(r)(E,1)/r! |
Ω |
0.027880697072082 |
Real period |
R |
27.13911160114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122130h5 |
Quadratic twists by: -3 |