Atkin-Lehner |
2- 3+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20184l |
Isogeny class |
Conductor |
20184 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19905600 |
Modular degree for the optimal curve |
Δ |
5.0877115226406E+22 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 2 -2 -7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22044769968,1259821465648524] |
[a1,a2,a3,a4,a6] |
j |
1375088009512735250/59049 |
j-invariant |
L |
1.9422124810136 |
L(r)(E,1)/r! |
Ω |
0.060694140031676 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40368l1 60552d1 20184j1 |
Quadratic twists by: -4 -3 29 |