Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920gi |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
1149603840 = 212 · 36 · 5 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-441,-3321] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:12:1] |
Generators of the group modulo torsion |
j |
2320940224/280665 |
j-invariant |
L |
7.3274036363604 |
L(r)(E,1)/r! |
Ω |
1.0498623981073 |
Real period |
R |
1.1632323830925 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920ey1 36960bi1 |
Quadratic twists by: -4 8 |