Atkin-Lehner |
2- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350ct |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-1193589223750 = -1 · 2 · 54 · 72 · 117 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 11- -3 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11155,-453703] |
[a1,a2,a3,a4,a6] |
j |
-138630825/1078 |
j-invariant |
L |
0.92867458984973 |
L(r)(E,1)/r! |
Ω |
0.23216864749033 |
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 |
42350t1 3850l1 |
Quadratic twists by: 5 -11 |