Atkin-Lehner |
2+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
11200c |
Isogeny class |
Conductor |
11200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-13671875000000 = -1 · 26 · 515 · 7 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ 3 5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13133,-610387] |
[a1,a2,a3,a4,a6] |
Generators |
[33069972:763459975:59319] |
Generators of the group modulo torsion |
j |
-250523582464/13671875 |
j-invariant |
L |
5.4035019342401 |
L(r)(E,1)/r! |
Ω |
0.22228005085976 |
Real period |
R |
12.154716343954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11200cn3 175b3 100800dw3 2240m3 |
Quadratic twists by: -4 8 -3 5 |