Atkin-Lehner |
2- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41140c |
Isogeny class |
Conductor |
41140 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-5.4157991002503E+24 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 11- -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26977716,124288347416] |
[a1,a2,a3,a4,a6] |
Generators |
[25346347016679671577041636267821673991690:3642220982458011940406783180940862965859271:1171724549981565339332678714018356296] |
Generators of the group modulo torsion |
j |
-4787879231470062544/11941708603515625 |
j-invariant |
L |
8.1269535762639 |
L(r)(E,1)/r! |
Ω |
0.067469504614269 |
Real period |
R |
60.22686562413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3740c2 |
Quadratic twists by: -11 |