Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350cg |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
-46891005218750 = -1 · 2 · 56 · 7 · 118 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 11- 7 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,9012,11342] |
[a1,a2,a3,a4,a6] |
j |
24167/14 |
j-invariant |
L |
6.1147551842275 |
L(r)(E,1)/r! |
Ω |
0.38217219900698 |
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 |
1694a1 42350g1 |
Quadratic twists by: 5 -11 |