Atkin-Lehner |
2+ 3- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
59808b |
Isogeny class |
Conductor |
59808 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-13021876224 = -1 · 212 · 36 · 72 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -2 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,223,-5265] |
[a1,a2,a3,a4,a6] |
Generators |
[31:180:1] |
Generators of the group modulo torsion |
j |
298077632/3179169 |
j-invariant |
L |
8.2368894498918 |
L(r)(E,1)/r! |
Ω |
0.62127438673093 |
Real period |
R |
1.1048378443082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999701 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59808g2 119616b1 |
Quadratic twists by: -4 8 |