Atkin-Lehner |
2- 11+ 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
123728g |
Isogeny class |
Conductor |
123728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
33280 |
Modular degree for the optimal curve |
Δ |
-348418048 = -1 · 212 · 112 · 19 · 37 |
Discriminant |
Eigenvalues |
2- 2 -2 0 11+ 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,176,0] |
[a1,a2,a3,a4,a6] |
j |
146363183/85063 |
j-invariant |
L |
2.0540518911348 |
L(r)(E,1)/r! |
Ω |
1.027025420064 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7733c1 |
Quadratic twists by: -4 |