Atkin-Lehner |
2+ 3+ 5- 17+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
42330d |
Isogeny class |
Conductor |
42330 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
47565197138892000 = 25 · 3 · 53 · 174 · 834 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-105477,-8028051] |
[a1,a2,a3,a4,a6] |
Generators |
[373:1981:1] |
Generators of the group modulo torsion |
j |
129778709891141055961/47565197138892000 |
j-invariant |
L |
3.9179963948373 |
L(r)(E,1)/r! |
Ω |
0.27306051832362 |
Real period |
R |
2.3914090661946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126990bt3 |
Quadratic twists by: -3 |