Atkin-Lehner |
3- 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
18315k |
Isogeny class |
Conductor |
18315 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-84537545956875 = -1 · 38 · 54 · 11 · 374 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1665,443556] |
[a1,a2,a3,a4,a6] |
Generators |
[0:666:1] |
Generators of the group modulo torsion |
j |
-700463661841/115963711875 |
j-invariant |
L |
3.9248322029834 |
L(r)(E,1)/r! |
Ω |
0.4960494685712 |
Real period |
R |
0.98902237872775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6105l4 91575v3 |
Quadratic twists by: -3 5 |