Atkin-Lehner |
2- 3+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
35904bv |
Isogeny class |
Conductor |
35904 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
271554964354105344 = 217 · 33 · 11 · 178 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 11+ -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-162049,-1299551] |
[a1,a2,a3,a4,a6] |
Generators |
[36209139:1342139120:24389] |
Generators of the group modulo torsion |
j |
3590504967602306/2071799959977 |
j-invariant |
L |
4.7810763854079 |
L(r)(E,1)/r! |
Ω |
0.25956506377415 |
Real period |
R |
9.2097840824389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35904bn4 8976k3 107712em4 |
Quadratic twists by: -4 8 -3 |