Atkin-Lehner |
2+ 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920df |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
Δ |
-2.3605452681313E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,71637855,-13259369025] |
[a1,a2,a3,a4,a6] |
Generators |
[675:188160:1] |
Generators of the group modulo torsion |
j |
155099895405729262880471/90047655797243760000 |
j-invariant |
L |
7.5489950744086 |
L(r)(E,1)/r! |
Ω |
0.039994856348535 |
Real period |
R |
1.6852602532499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995794 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920gb3 2310b4 |
Quadratic twists by: -4 8 |