Atkin-Lehner |
3+ 5+ 7+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
31395a |
Isogeny class |
Conductor |
31395 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.5622836012431E+20 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ -4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1386641,182048438] |
[a1,a2,a3,a4,a6] |
Generators |
[-156:19942:1] |
Generators of the group modulo torsion |
j |
294859987865900619070609/156228360124306640625 |
j-invariant |
L |
2.1165438378324 |
L(r)(E,1)/r! |
Ω |
0.15980111936462 |
Real period |
R |
6.6224312015079 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
94185w2 |
Quadratic twists by: -3 |