Atkin-Lehner |
2+ 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
24024o |
Isogeny class |
Conductor |
24024 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
6103809977481216 = 211 · 36 · 7 · 112 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-209672,-36832080] |
[a1,a2,a3,a4,a6] |
Generators |
[535:2100:1] |
Generators of the group modulo torsion |
j |
497756734472695826/2980375965567 |
j-invariant |
L |
7.7245575263072 |
L(r)(E,1)/r! |
Ω |
0.22318802579379 |
Real period |
R |
5.7683482337624 |
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 |
48048e2 72072bp2 |
Quadratic twists by: -4 -3 |