Atkin-Lehner |
2+ 3- 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
112710bn |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
12690432 |
Modular degree for the optimal curve |
Δ |
-3.6727362926865E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -5 13+ 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7973083,-9143447194] |
[a1,a2,a3,a4,a6] |
j |
-8035466932025641/526500000000 |
j-invariant |
L |
3.2222172173466 |
L(r)(E,1)/r! |
Ω |
0.044753019591171 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112710c1 |
Quadratic twists by: 17 |