Atkin-Lehner |
2- 3- 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
122010cx |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
47246976 |
Modular degree for the optimal curve |
Δ |
7.7786361816146E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -5 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-68118821,169761910401] |
[a1,a2,a3,a4,a6] |
j |
123749849705277508321/27537408000000000 |
j-invariant |
L |
5.8630619155498 |
L(r)(E,1)/r! |
Ω |
0.069798373240979 |
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 |
122010cd1 |
Quadratic twists by: -7 |