Atkin-Lehner |
2- 3- 5- 29+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
122670cc |
Isogeny class |
Conductor |
122670 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
2654208 |
Modular degree for the optimal curve |
Δ |
4169770793368289280 = 218 · 310 · 5 · 293 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -2 -2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1924232,1023160011] |
[a1,a2,a3,a4,a6] |
Generators |
[-1411:31161:1] |
Generators of the group modulo torsion |
j |
1080857076550798366009/5719850196664320 |
j-invariant |
L |
12.938765267259 |
L(r)(E,1)/r! |
Ω |
0.24785889949387 |
Real period |
R |
1.4500594804754 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999800079 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40890e1 |
Quadratic twists by: -3 |