Atkin-Lehner |
2+ 5- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
109330l |
Isogeny class |
Conductor |
109330 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
40210056499600 = 24 · 52 · 132 · 296 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 0 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-72904,-7552272] |
[a1,a2,a3,a4,a6] |
Generators |
[-156:156:1] |
Generators of the group modulo torsion |
j |
72043225281/67600 |
j-invariant |
L |
4.8560936730154 |
L(r)(E,1)/r! |
Ω |
0.29056004977379 |
Real period |
R |
2.089109310404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000257858 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
130b2 |
Quadratic twists by: 29 |