Atkin-Lehner |
2- 3- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
124722bn |
Isogeny class |
Conductor |
124722 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
337182720 |
Modular degree for the optimal curve |
Δ |
2.0759823716206E+28 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 -5 13+ 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-45569220872,-3744151838783157] |
[a1,a2,a3,a4,a6] |
Generators |
[-42239701:39346623:343] |
Generators of the group modulo torsion |
j |
2974067900496992515620792961/5899782742437003264 |
j-invariant |
L |
10.97246359069 |
L(r)(E,1)/r! |
Ω |
0.010333125534796 |
Real period |
R |
6.6367042257863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999328427 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41574c1 9594i1 |
Quadratic twists by: -3 13 |