Atkin-Lehner |
2+ 3+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
71232u |
Isogeny class |
Conductor |
71232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3938844672 = 217 · 34 · 7 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-63329,-6113055] |
[a1,a2,a3,a4,a6] |
Generators |
[8760:73385:27] |
Generators of the group modulo torsion |
j |
214303140064946/30051 |
j-invariant |
L |
5.025120518107 |
L(r)(E,1)/r! |
Ω |
0.30095275912163 |
Real period |
R |
8.3486865721354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000508 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71232db4 8904c3 |
Quadratic twists by: -4 8 |