Atkin-Lehner |
2- 3+ 5+ 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
124830bk |
Isogeny class |
Conductor |
124830 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
6303744 |
Modular degree for the optimal curve |
Δ |
-4.479209251454E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -6 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1288793,-1163288519] |
[a1,a2,a3,a4,a6] |
j |
-12027672921389476203/22756740595712000 |
j-invariant |
L |
2.4014724290496 |
L(r)(E,1)/r! |
Ω |
0.066707559698514 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124830h1 |
Quadratic twists by: -3 |