Atkin-Lehner |
2- 3+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
24024t |
Isogeny class |
Conductor |
24024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-182410195968 = -1 · 210 · 34 · 7 · 11 · 134 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11+ 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1136,13948] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:108:1] [14:180:1] |
Generators of the group modulo torsion |
j |
158189040572/178134957 |
j-invariant |
L |
5.9738797217646 |
L(r)(E,1)/r! |
Ω |
0.67340460575613 |
Real period |
R |
4.4355797916303 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48048bb3 72072k3 |
Quadratic twists by: -4 -3 |