Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
18480bi |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
455 |
Product of Tamagawa factors cp |
deg |
1747200 |
Modular degree for the optimal curve |
Δ |
-6.879157621875E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -4 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36822945,86002418043] |
[a1,a2,a3,a4,a6] |
Generators |
[3606:11025:1] |
Generators of the group modulo torsion |
j |
-21569462179645467300176896/2687170946044921875 |
j-invariant |
L |
6.6483620093421 |
L(r)(E,1)/r! |
Ω |
0.15507437261808 |
Real period |
R |
0.094224367245406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9240e1 73920es1 55440q1 92400j1 |
Quadratic twists by: -4 8 -3 5 |