Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
54684n |
Isogeny class |
Conductor |
54684 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-29802202468933104 = -1 · 24 · 312 · 76 · 313 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 0 -2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-110653221,-448016701363] |
[a1,a2,a3,a4,a6] |
j |
-109189315135671400192/21717639 |
j-invariant |
L |
3.4911604006832 |
L(r)(E,1)/r! |
Ω |
0.023274402678731 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18228d2 1116f2 |
Quadratic twists by: -3 -7 |