Atkin-Lehner |
2- 3+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
16854k |
Isogeny class |
Conductor |
16854 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
32400 |
Modular degree for the optimal curve |
Δ |
2579589104832 = 26 · 315 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 -3 5 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4378,-82201] |
[a1,a2,a3,a4,a6] |
j |
3303736827625/918330048 |
j-invariant |
L |
3.5954243200532 |
L(r)(E,1)/r! |
Ω |
0.59923738667553 |
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 |
50562e1 16854i1 |
Quadratic twists by: -3 53 |