Atkin-Lehner |
2- 5- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
30550u |
Isogeny class |
Conductor |
30550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
113430011500000000 = 28 · 59 · 136 · 47 |
Discriminant |
Eigenvalues |
2- 0 5- 0 4 13+ 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8027055,-8751492553] |
[a1,a2,a3,a4,a6] |
j |
29286153778080829869/58076165888 |
j-invariant |
L |
2.8701892217377 |
L(r)(E,1)/r! |
Ω |
0.089693413179294 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30550i2 |
Quadratic twists by: 5 |