Atkin-Lehner |
2- 3- 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
45540w |
Isogeny class |
Conductor |
45540 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
2434568400 = 24 · 37 · 52 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-372,-1411] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:18:1] |
Generators of the group modulo torsion |
j |
488095744/208725 |
j-invariant |
L |
6.9509416173986 |
L(r)(E,1)/r! |
Ω |
1.1298257525981 |
Real period |
R |
1.5380561120601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15180b1 |
Quadratic twists by: -3 |