Atkin-Lehner |
2+ 3+ 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
4794a |
Isogeny class |
Conductor |
4794 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
24334344 = 23 · 34 · 17 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 4 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-716,7080] |
[a1,a2,a3,a4,a6] |
Generators |
[3:69:1] |
Generators of the group modulo torsion |
j |
40682738496457/24334344 |
j-invariant |
L |
2.1696553667552 |
L(r)(E,1)/r! |
Ω |
2.1044730411133 |
Real period |
R |
1.0309732291023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38352q2 14382k2 119850cn2 81498f2 |
Quadratic twists by: -4 -3 5 17 |