Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
79200a |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-278957081304000000 = -1 · 29 · 39 · 56 · 116 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ 0 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-292275,65913750] |
[a1,a2,a3,a4,a6] |
Generators |
[-495:9450:1] |
Generators of the group modulo torsion |
j |
-17535471192/1771561 |
j-invariant |
L |
6.7918196482651 |
L(r)(E,1)/r! |
Ω |
0.30124056944333 |
Real period |
R |
2.818270651512 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001487 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79200g2 79200cq2 3168o2 |
Quadratic twists by: -4 -3 5 |