Atkin-Lehner |
2- 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
60200p |
Isogeny class |
Conductor |
60200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
67424000000 = 211 · 56 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 4 4 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-45808,-3758388] |
[a1,a2,a3,a4,a6] |
j |
332205796946/2107 |
j-invariant |
L |
5.8740292143582 |
L(r)(E,1)/r! |
Ω |
0.32633495648531 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120400c2 2408a2 |
Quadratic twists by: -4 5 |