Atkin-Lehner |
3- 5+ 37+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
119325l |
Isogeny class |
Conductor |
119325 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
1411200 |
Modular degree for the optimal curve |
Δ |
46518152080078125 = 37 · 510 · 373 · 43 |
Discriminant |
Eigenvalues |
2 3- 5+ 0 -2 0 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-236458,-43101881] |
[a1,a2,a3,a4,a6] |
j |
149722662400000/4763458773 |
j-invariant |
L |
6.0738656650906 |
L(r)(E,1)/r! |
Ω |
0.21692377279742 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119325k1 |
Quadratic twists by: 5 |