Atkin-Lehner |
3+ 5+ 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
16815a |
Isogeny class |
Conductor |
16815 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
37440 |
Modular degree for the optimal curve |
Δ |
-124798828125 = -1 · 3 · 59 · 192 · 59 |
Discriminant |
Eigenvalues |
1 3+ 5+ 1 -2 -1 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-63368,-6166287] |
[a1,a2,a3,a4,a6] |
j |
-28141317208833765769/124798828125 |
j-invariant |
L |
0.30090613795084 |
L(r)(E,1)/r! |
Ω |
0.15045306897542 |
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 |
50445d1 84075m1 |
Quadratic twists by: -3 5 |