Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
3960d |
Isogeny class |
Conductor |
3960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
28868400000000 = 210 · 38 · 58 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20883,-1132418] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:148:1] |
Generators of the group modulo torsion |
j |
1349195526724/38671875 |
j-invariant |
L |
3.4100666942727 |
L(r)(E,1)/r! |
Ω |
0.39784339705182 |
Real period |
R |
4.2856896954211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7920c4 31680be3 1320m4 19800bh3 |
Quadratic twists by: -4 8 -3 5 |