Atkin-Lehner |
2- 31- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
113398f |
Isogeny class |
Conductor |
113398 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-5.9108731928957E+28 |
Discriminant |
Eigenvalues |
2- 2 0 -1 3 -5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-432779643,12199593764897] |
[a1,a2,a3,a4,a6] |
Generators |
[-10445571423224857953760163786099364185253286740231013542:31836976514089564356734641145919541478769260274490834265:358099399971131288188490215332780200687482681363032] |
Generators of the group modulo torsion |
j |
-10100759302698979344625/66601111853819171032 |
j-invariant |
L |
15.421811990817 |
L(r)(E,1)/r! |
Ω |
0.030272096996914 |
Real period |
R |
84.906638569886 |
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 |
Quadratic twists by: -31 |