Atkin-Lehner |
2- 7- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
45584m |
Isogeny class |
Conductor |
45584 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
4460427109666390016 = 220 · 710 · 11 · 372 |
Discriminant |
Eigenvalues |
2- 2 2 7- 11+ -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-328963272,-2296405062160] |
[a1,a2,a3,a4,a6] |
Generators |
[80765786736577781670:-24078541743667211575670:871284877917831] |
Generators of the group modulo torsion |
j |
961182828357290366971501513/1088971462320896 |
j-invariant |
L |
10.321106036007 |
L(r)(E,1)/r! |
Ω |
0.035449711198927 |
Real period |
R |
29.114781720168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5698b2 |
Quadratic twists by: -4 |