Atkin-Lehner |
2+ 3+ 5+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
127920b |
Isogeny class |
Conductor |
127920 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-1869434710041600 = -1 · 210 · 32 · 52 · 136 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-149936,22493040] |
[a1,a2,a3,a4,a6] |
Generators |
[-187:6630:1] [86:3198:1] |
Generators of the group modulo torsion |
j |
-364036066969528516/1825619834025 |
j-invariant |
L |
9.1369467554713 |
L(r)(E,1)/r! |
Ω |
0.47121033899811 |
Real period |
R |
0.80793243120848 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000367 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63960o2 |
Quadratic twists by: -4 |