Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
40800b |
Isogeny class |
Conductor |
40800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
5875200 = 29 · 33 · 52 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 3 4 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-48,72] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:4:1] |
Generators of the group modulo torsion |
j |
975560/459 |
j-invariant |
L |
5.1015891243639 |
L(r)(E,1)/r! |
Ω |
2.1395436962614 |
Real period |
R |
2.3844285738495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40800bo1 81600cu1 122400dn1 40800ca1 |
Quadratic twists by: -4 8 -3 5 |