Atkin-Lehner |
2+ 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600ev |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-32072064000000000 = -1 · 216 · 3 · 59 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 6 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-384833,92162463] |
[a1,a2,a3,a4,a6] |
j |
-49241558516/250563 |
j-invariant |
L |
2.9747151428427 |
L(r)(E,1)/r! |
Ω |
0.37183939992033 |
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 |
81600hl1 10200m1 81600bq1 |
Quadratic twists by: -4 8 5 |