Atkin-Lehner |
2+ 3- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
124722v |
Isogeny class |
Conductor |
124722 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
18923520 |
Modular degree for the optimal curve |
Δ |
1.518245648277E+23 |
Discriminant |
Eigenvalues |
2+ 3- 3 2 -3 13+ -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13812993,-6241466867] |
[a1,a2,a3,a4,a6] |
Generators |
[500398:124675615:8] |
Generators of the group modulo torsion |
j |
82832250843593497/43147377342576 |
j-invariant |
L |
6.8154768187316 |
L(r)(E,1)/r! |
Ω |
0.082927400859258 |
Real period |
R |
2.568314575449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999180418 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41574n1 9594r1 |
Quadratic twists by: -3 13 |