Atkin-Lehner |
3+ 11+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
8151b |
Isogeny class |
Conductor |
8151 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
142240 |
Modular degree for the optimal curve |
Δ |
190264579283493 = 314 · 115 · 13 · 19 |
Discriminant |
Eigenvalues |
-2 3+ 4 -1 11+ 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-482316,129086714] |
[a1,a2,a3,a4,a6] |
j |
12408509569080558997504/190264579283493 |
j-invariant |
L |
1.0375905567558 |
L(r)(E,1)/r! |
Ω |
0.51879527837789 |
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 |
24453h1 89661g1 105963j1 |
Quadratic twists by: -3 -11 13 |