Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160eo |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2508226560000 = 218 · 37 · 54 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-64812,-6350384] |
[a1,a2,a3,a4,a6] |
j |
157551496201/13125 |
j-invariant |
L |
2.3937448486782 |
L(r)(E,1)/r! |
Ω |
0.29921810608477 |
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 |
20160ch3 5040bd3 6720bx3 100800nb4 |
Quadratic twists by: -4 8 -3 5 |