Atkin-Lehner |
3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
5415h |
Isogeny class |
Conductor |
5415 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
125700713296875 = 32 · 56 · 197 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 -2 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-33761,2323110] |
[a1,a2,a3,a4,a6] |
Generators |
[-179:1714:1] |
Generators of the group modulo torsion |
j |
90458382169/2671875 |
j-invariant |
L |
2.5704714896429 |
L(r)(E,1)/r! |
Ω |
0.58444706243578 |
Real period |
R |
2.1990627165872 |
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 |
86640by2 16245k2 27075e2 285b2 |
Quadratic twists by: -4 -3 5 -19 |