Atkin-Lehner |
2- 3- 5- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810ev |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
4.5007253512084E+26 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-507224552,-4276678832971] |
[a1,a2,a3,a4,a6] |
Generators |
[281653226946:-52000936285297:6028568] |
Generators of the group modulo torsion |
j |
19796890671872597985774537529/617383450097174710545750 |
j-invariant |
L |
12.613955755539 |
L(r)(E,1)/r! |
Ω |
0.031873419198799 |
Real period |
R |
10.993099192285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029293 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39270ba2 |
Quadratic twists by: -3 |