Atkin-Lehner |
3+ 31+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
7719b |
Isogeny class |
Conductor |
7719 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
155684511 = 36 · 31 · 832 |
Discriminant |
Eigenvalues |
-1 3+ 2 -4 4 4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-212,-1114] |
[a1,a2,a3,a4,a6] |
j |
1054045415233/155684511 |
j-invariant |
L |
1.2634977039969 |
L(r)(E,1)/r! |
Ω |
1.2634977039969 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123504bi2 23157d2 |
Quadratic twists by: -4 -3 |