Atkin-Lehner |
2- 3- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
124608cu |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
4700160 |
Modular degree for the optimal curve |
Δ |
-7.1993930413727E+20 |
Discriminant |
Eigenvalues |
2- 3- -1 2 11+ 4 -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2130239,484859711] |
[a1,a2,a3,a4,a6] |
Generators |
[497:40824:1] |
Generators of the group modulo torsion |
j |
4078200565293477839/2746350494908416 |
j-invariant |
L |
8.7724060896484 |
L(r)(E,1)/r! |
Ω |
0.1009467885237 |
Real period |
R |
2.5559202742647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015641 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124608q1 31152r1 |
Quadratic twists by: -4 8 |