Atkin-Lehner |
2- 3- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
24024y |
Isogeny class |
Conductor |
24024 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
879470592 = 211 · 3 · 7 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11+ 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-848,9120] |
[a1,a2,a3,a4,a6] |
Generators |
[51:318:1] |
Generators of the group modulo torsion |
j |
32968057250/429429 |
j-invariant |
L |
6.1964260014843 |
L(r)(E,1)/r! |
Ω |
1.5835838070361 |
Real period |
R |
3.9129132123937 |
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 |
48048k2 72072j2 |
Quadratic twists by: -4 -3 |