Atkin-Lehner |
2- 3- 5- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
47970bo |
Isogeny class |
Conductor |
47970 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-200848027477500 = -1 · 22 · 37 · 54 · 13 · 414 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-392,681959] |
[a1,a2,a3,a4,a6] |
j |
-9116230969/275511697500 |
j-invariant |
L |
7.2112168085121 |
L(r)(E,1)/r! |
Ω |
0.45070105053231 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15990i4 |
Quadratic twists by: -3 |