Atkin-Lehner |
2- 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40128by |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-436257008123904 = -1 · 233 · 35 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- -1 2 11- -4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4799,-995137] |
[a1,a2,a3,a4,a6] |
j |
46617130799/1664188416 |
j-invariant |
L |
2.5463050578414 |
L(r)(E,1)/r! |
Ω |
0.25463050578502 |
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 |
40128d1 10032g1 120384cn1 |
Quadratic twists by: -4 8 -3 |