Atkin-Lehner |
2- 3- 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
116178bf |
Isogeny class |
Conductor |
116178 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
3594240 |
Modular degree for the optimal curve |
Δ |
5.6431830284978E+19 |
Discriminant |
Eigenvalues |
2- 3- -1 1 1 -1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6518401,-6395937271] |
[a1,a2,a3,a4,a6] |
Generators |
[-1442:3103:1] |
Generators of the group modulo torsion |
j |
1268976004235100721/2337925177344 |
j-invariant |
L |
13.029046112796 |
L(r)(E,1)/r! |
Ω |
0.094495765998739 |
Real period |
R |
5.3030646549892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029343 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6834p1 |
Quadratic twists by: 17 |