Atkin-Lehner |
2+ 3+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
85800g |
Isogeny class |
Conductor |
85800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
18404100000000 = 28 · 32 · 58 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14508,645012] |
[a1,a2,a3,a4,a6] |
Generators |
[18:624:1] |
Generators of the group modulo torsion |
j |
84433792336/4601025 |
j-invariant |
L |
5.7635068056042 |
L(r)(E,1)/r! |
Ω |
0.67908202138152 |
Real period |
R |
2.1218006902227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980285 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17160y2 |
Quadratic twists by: 5 |