Atkin-Lehner |
2- 3+ 5- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
81840ca |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3156483686400 = -1 · 214 · 36 · 52 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11+ -6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2360,-74000] |
[a1,a2,a3,a4,a6] |
Generators |
[52:-432:1] |
Generators of the group modulo torsion |
j |
354744554039/770625900 |
j-invariant |
L |
3.6087948213655 |
L(r)(E,1)/r! |
Ω |
0.41445822008262 |
Real period |
R |
1.0884073007514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001692 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230u2 |
Quadratic twists by: -4 |