Atkin-Lehner |
2- 3+ 5- 17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
42330bd |
Isogeny class |
Conductor |
42330 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
83200 |
Modular degree for the optimal curve |
Δ |
-1124284800000 = -1 · 210 · 3 · 55 · 17 · 832 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2435,22547] |
[a1,a2,a3,a4,a6] |
Generators |
[7:196:1] |
Generators of the group modulo torsion |
j |
1596649030219439/1124284800000 |
j-invariant |
L |
6.3410253958187 |
L(r)(E,1)/r! |
Ω |
0.55090250969192 |
Real period |
R |
0.46040998429008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126990m1 |
Quadratic twists by: -3 |