Atkin-Lehner |
2+ 3+ 5- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
127920k |
Isogeny class |
Conductor |
127920 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
654541056000 = 211 · 32 · 53 · 132 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 6 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4800,123552] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:390:1] |
Generators of the group modulo torsion |
j |
5973212246402/319600125 |
j-invariant |
L |
7.3408866681512 |
L(r)(E,1)/r! |
Ω |
0.89707249742649 |
Real period |
R |
0.6819298882436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000126897 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63960u2 |
Quadratic twists by: -4 |