Atkin-Lehner |
2+ 7- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
53998c |
Isogeny class |
Conductor |
53998 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
306432 |
Modular degree for the optimal curve |
Δ |
-898998948061424 = -1 · 24 · 710 · 193 · 29 |
Discriminant |
Eigenvalues |
2+ -1 3 7- 0 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,20359,-903083] |
[a1,a2,a3,a4,a6] |
j |
3303538007/3182576 |
j-invariant |
L |
0.54371906595205 |
L(r)(E,1)/r! |
Ω |
0.27185953238529 |
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 |
53998b1 |
Quadratic twists by: -7 |