Atkin-Lehner |
2- 11- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
82654m |
Isogeny class |
Conductor |
82654 |
Conductor |
∏ cp |
170 |
Product of Tamagawa factors cp |
deg |
71285760 |
Modular degree for the optimal curve |
Δ |
-9.2399195356453E+27 |
Discriminant |
Eigenvalues |
2- 0 3 1 11- 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3101242726,-66633901335051] |
[a1,a2,a3,a4,a6] |
Generators |
[10603845:2089124943:125] |
Generators of the group modulo torsion |
j |
-136658754931863917899493073/382802407965990977536 |
j-invariant |
L |
13.223208767571 |
L(r)(E,1)/r! |
Ω |
0.010113762637929 |
Real period |
R |
7.6908647912591 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000837 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4862d1 |
Quadratic twists by: 17 |