Atkin-Lehner |
2+ 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920dc |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
19670999040000 = 216 · 34 · 54 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8225,189375] |
[a1,a2,a3,a4,a6] |
Generators |
[130:-1155:1] |
Generators of the group modulo torsion |
j |
939083699236/300155625 |
j-invariant |
L |
8.3302573651775 |
L(r)(E,1)/r! |
Ω |
0.63302472516651 |
Real period |
R |
0.82246563938917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998149 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73920fy2 9240q2 |
Quadratic twists by: -4 8 |