Atkin-Lehner |
2- 3+ 5- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
127920bn |
Isogeny class |
Conductor |
127920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
159289111388160 = 213 · 34 · 5 · 134 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -6 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21640,1071472] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:1066:1] [2:1014:1] |
Generators of the group modulo torsion |
j |
273624891501961/38888943210 |
j-invariant |
L |
9.9601715870784 |
L(r)(E,1)/r! |
Ω |
0.5528435233988 |
Real period |
R |
4.5040645185377 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999948824 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15990l2 |
Quadratic twists by: -4 |