Atkin-Lehner |
2- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
124384k |
Isogeny class |
Conductor |
124384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4666368 |
Modular degree for the optimal curve |
Δ |
-8.7510117352699E+20 |
Discriminant |
Eigenvalues |
2- 1 -1 4 5 13+ 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2779261,2280765163] |
[a1,a2,a3,a4,a6] |
j |
-120085841645056/44262730811 |
j-invariant |
L |
4.755005978602 |
L(r)(E,1)/r! |
Ω |
0.14859392746729 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124384e1 9568c1 |
Quadratic twists by: -4 13 |