Atkin-Lehner |
2+ 3+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
6450f |
Isogeny class |
Conductor |
6450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
198759038976000 = 217 · 38 · 53 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -4 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3494890,2513314900] |
[a1,a2,a3,a4,a6] |
j |
37767168555963845320349/1590072311808 |
j-invariant |
L |
0.83970024704528 |
L(r)(E,1)/r! |
Ω |
0.41985012352264 |
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 |
51600du2 19350cm2 6450bm2 |
Quadratic twists by: -4 -3 5 |