Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608ef |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.4387676963074E+23 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -6 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-69658860,-223030164656] |
[a1,a2,a3,a4,a6] |
j |
195607431345044517625/752875610010048 |
j-invariant |
L |
2.5089802409637 |
L(r)(E,1)/r! |
Ω |
0.052270421584484 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608ce4 19152bl4 25536cw4 |
Quadratic twists by: -4 8 -3 |