Atkin-Lehner |
2+ 3+ 37+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
83472b |
Isogeny class |
Conductor |
83472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
188312832 = 28 · 32 · 37 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 -4 4 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-244,-1232] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:12:1] |
Generators of the group modulo torsion |
j |
6301325392/735597 |
j-invariant |
L |
2.8646089882495 |
L(r)(E,1)/r! |
Ω |
1.2167444284206 |
Real period |
R |
1.1771613346534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999918535 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41736c2 |
Quadratic twists by: -4 |