Atkin-Lehner |
2+ 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
83232h |
Isogeny class |
Conductor |
83232 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-8.6046664940806E+19 |
Discriminant |
Eigenvalues |
2+ 3- -1 2 5 -5 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-575688,-476914736] |
[a1,a2,a3,a4,a6] |
j |
-292754944/1193859 |
j-invariant |
L |
2.528247641149 |
L(r)(E,1)/r! |
Ω |
0.07900774028908 |
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 |
83232bg1 27744w1 4896a1 |
Quadratic twists by: -4 -3 17 |