Atkin-Lehner |
2+ 3+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57408j |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.4541337622996E+22 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 4 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20227969,34539571585] |
[a1,a2,a3,a4,a6] |
Generators |
[-70670320032:2440944779447:15069223] |
Generators of the group modulo torsion |
j |
3491729964247447364833/55470800868972723 |
j-invariant |
L |
4.2061647071853 |
L(r)(E,1)/r! |
Ω |
0.12518276242607 |
Real period |
R |
16.800095419451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998298 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408dl3 897e3 |
Quadratic twists by: -4 8 |