Atkin-Lehner |
2+ 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600bq |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-2052612096000 = -1 · 216 · 3 · 53 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 6 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15393,743457] |
[a1,a2,a3,a4,a6] |
j |
-49241558516/250563 |
j-invariant |
L |
3.3258327188704 |
L(r)(E,1)/r! |
Ω |
0.8314581749346 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600ji1 10200bm1 81600ev1 |
Quadratic twists by: -4 8 5 |