Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304cx |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
-8.9382930407992E+19 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 2 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,497775,434484441] |
[a1,a2,a3,a4,a6] |
Generators |
[4440:300321:1] |
Generators of the group modulo torsion |
j |
1811564780171264/11870974573731 |
j-invariant |
L |
10.000188355799 |
L(r)(E,1)/r! |
Ω |
0.13858779905856 |
Real period |
R |
4.5098614125723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000080157 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122304ey1 1911c1 17472c1 |
Quadratic twists by: -4 8 -7 |