Atkin-Lehner |
2+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200s |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-156590819000000 = -1 · 26 · 56 · 76 · 113 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ 11- -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4933,615013] |
[a1,a2,a3,a4,a6] |
j |
-13278380032/156590819 |
j-invariant |
L |
2.9388508923114 |
L(r)(E,1)/r! |
Ω |
0.4898083698167 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200fk2 1925a2 4928o2 |
Quadratic twists by: -4 8 5 |