Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350db |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
52219528539062500 = 22 · 59 · 73 · 117 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11- 6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1178805,492790697] |
[a1,a2,a3,a4,a6] |
Generators |
[5150:2503:8] |
Generators of the group modulo torsion |
j |
52355598021/15092 |
j-invariant |
L |
9.9086134034766 |
L(r)(E,1)/r! |
Ω |
0.3472708672933 |
Real period |
R |
2.3777341015076 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999958 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42350bj1 3850i1 |
Quadratic twists by: 5 -11 |