Atkin-Lehner |
2+ 3- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
8778k |
Isogeny class |
Conductor |
8778 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
3888 |
Modular degree for the optimal curve |
Δ |
-57592458 = -1 · 2 · 39 · 7 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ 5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-771,8176] |
[a1,a2,a3,a4,a6] |
j |
-50591419971625/57592458 |
j-invariant |
L |
1.9737593293419 |
L(r)(E,1)/r! |
Ω |
1.9737593293419 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
70224bj1 26334bt1 61446d1 96558cq1 |
Quadratic twists by: -4 -3 -7 -11 |