Atkin-Lehner |
2+ 11- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
107822j |
Isogeny class |
Conductor |
107822 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.0844600606921E+19 |
Discriminant |
Eigenvalues |
2+ -2 0 -2 11- 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-966346,-329603064] |
[a1,a2,a3,a4,a6] |
Generators |
[-701:2209:1] [-536:6136:1] |
Generators of the group modulo torsion |
j |
20675732857494625/2246743263908 |
j-invariant |
L |
5.9145589169681 |
L(r)(E,1)/r! |
Ω |
0.15334364766877 |
Real period |
R |
3.2142179804004 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000004671 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8294d3 |
Quadratic twists by: 13 |