Atkin-Lehner |
2- 3+ 31+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
15996a |
Isogeny class |
Conductor |
15996 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
29568 |
Modular degree for the optimal curve |
Δ |
-22233302620416 = -1 · 28 · 37 · 314 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 1 3 5 -5 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6820,-69192] |
[a1,a2,a3,a4,a6] |
j |
137016601001264/86848838361 |
j-invariant |
L |
2.3363595470663 |
L(r)(E,1)/r! |
Ω |
0.38939325784439 |
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 |
63984bd1 47988d1 |
Quadratic twists by: -4 -3 |