Atkin-Lehner |
2+ 3- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
24816g |
Isogeny class |
Conductor |
24816 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
2456784 = 24 · 33 · 112 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- 0 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-419,-3444] |
[a1,a2,a3,a4,a6] |
Generators |
[24:30:1] |
Generators of the group modulo torsion |
j |
509661571072/153549 |
j-invariant |
L |
5.6779333426533 |
L(r)(E,1)/r! |
Ω |
1.0550366831968 |
Real period |
R |
3.5878268077207 |
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 |
12408d1 99264be1 74448e1 |
Quadratic twists by: -4 8 -3 |