Atkin-Lehner |
2- 5- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30160y |
Isogeny class |
Conductor |
30160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3843168160000 = -1 · 28 · 54 · 134 · 292 |
Discriminant |
Eigenvalues |
2- 2 5- 0 -2 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1700,-90948] |
[a1,a2,a3,a4,a6] |
Generators |
[56814:928655:216] |
Generators of the group modulo torsion |
j |
2121167764784/15012375625 |
j-invariant |
L |
8.5788730595549 |
L(r)(E,1)/r! |
Ω |
0.39088520660192 |
Real period |
R |
5.4868238261902 |
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 |
7540f2 120640cl2 |
Quadratic twists by: -4 8 |