Atkin-Lehner |
2- 31+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
29264f |
Isogeny class |
Conductor |
29264 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-2.7279815415324E+23 |
Discriminant |
Eigenvalues |
2- 2 0 1 3 5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7205488,26211174336] |
[a1,a2,a3,a4,a6] |
Generators |
[-3528:87792:1] |
Generators of the group modulo torsion |
j |
-10100759302698979344625/66601111853819171032 |
j-invariant |
L |
8.6620098269995 |
L(r)(E,1)/r! |
Ω |
0.084273951423775 |
Real period |
R |
1.4275548969657 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3658d3 117056m3 |
Quadratic twists by: -4 8 |