Atkin-Lehner |
2- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
117740k |
Isogeny class |
Conductor |
117740 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
12096000 |
Modular degree for the optimal curve |
Δ |
1.0354238254477E+19 |
Discriminant |
Eigenvalues |
2- 2 5- 7- -6 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-127012305,550998182150] |
[a1,a2,a3,a4,a6] |
j |
23809656960517881856/1087953125 |
j-invariant |
L |
2.0449448089915 |
L(r)(E,1)/r! |
Ω |
0.17041211592336 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4060g1 |
Quadratic twists by: 29 |