Atkin-Lehner |
2+ 3+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
24768b |
Isogeny class |
Conductor |
24768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
19021824 = 214 · 33 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 -2 -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-156,720] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:32:1] |
Generators of the group modulo torsion |
j |
949104/43 |
j-invariant |
L |
5.2449254678549 |
L(r)(E,1)/r! |
Ω |
2.1489889517541 |
Real period |
R |
1.2203239722507 |
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 |
24768bs1 3096b1 24768a1 |
Quadratic twists by: -4 8 -3 |