Atkin-Lehner |
2- 3- 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
45150cz |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-731430000000 = -1 · 27 · 35 · 57 · 7 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,687,40617] |
[a1,a2,a3,a4,a6] |
Generators |
[12:-231:1] |
Generators of the group modulo torsion |
j |
2294744759/46811520 |
j-invariant |
L |
12.06228379082 |
L(r)(E,1)/r! |
Ω |
0.67368370694492 |
Real period |
R |
0.12789261347156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9030e1 |
Quadratic twists by: 5 |