Atkin-Lehner |
2- 3- 7+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
88578bb |
Isogeny class |
Conductor |
88578 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-1356040602 = -1 · 2 · 39 · 72 · 19 · 37 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -2 4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-194,-2005] |
[a1,a2,a3,a4,a6] |
j |
-1102302937/1860138 |
j-invariant |
L |
4.8398003792685 |
L(r)(E,1)/r! |
Ω |
0.60497505582148 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29526i1 |
Quadratic twists by: -3 |