Atkin-Lehner |
2+ 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
127800n |
Isogeny class |
Conductor |
127800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
22049334000000000 = 210 · 37 · 59 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1794675,925366750] |
[a1,a2,a3,a4,a6] |
Generators |
[1670:50850:1] |
Generators of the group modulo torsion |
j |
54806698376356/1890375 |
j-invariant |
L |
6.3584380876127 |
L(r)(E,1)/r! |
Ω |
0.35670651609378 |
Real period |
R |
4.4563512086777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000048851 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42600y2 25560k2 |
Quadratic twists by: -3 5 |