Atkin-Lehner |
2+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
122018d |
Isogeny class |
Conductor |
122018 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
15618304 = 28 · 132 · 192 |
Discriminant |
Eigenvalues |
2+ 0 1 -1 5 13+ -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6499,-200043] |
[a1,a2,a3,a4,a6] |
j |
497630516409/256 |
j-invariant |
L |
1.0634445442159 |
L(r)(E,1)/r! |
Ω |
0.53172221040382 |
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 |
122018bc1 122018t1 |
Quadratic twists by: 13 -19 |