Atkin-Lehner |
2- 3- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
101232bb |
Isogeny class |
Conductor |
101232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-9941559017472 = -1 · 219 · 36 · 19 · 372 |
Discriminant |
Eigenvalues |
2- 3- 2 -1 2 -1 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11019,-470342] |
[a1,a2,a3,a4,a6] |
j |
-49552182217/3329408 |
j-invariant |
L |
1.856706335736 |
L(r)(E,1)/r! |
Ω |
0.23208829443381 |
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 |
12654p1 11248j1 |
Quadratic twists by: -4 -3 |