Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69300cn |
Isogeny class |
Conductor |
69300 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
2983137765300000000 = 28 · 318 · 58 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- 1 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-921000,-329897500] |
[a1,a2,a3,a4,a6] |
j |
1185154785280/40920957 |
j-invariant |
L |
2.7798874058231 |
L(r)(E,1)/r! |
Ω |
0.15443818947251 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23100o1 69300bg1 |
Quadratic twists by: -3 5 |