Atkin-Lehner |
3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
5415l |
Isogeny class |
Conductor |
5415 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
6897449540026125 = 32 · 53 · 1910 |
Discriminant |
Eigenvalues |
-1 3- 5- 4 4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2168715,1229095692] |
[a1,a2,a3,a4,a6] |
j |
23977812996389881/146611125 |
j-invariant |
L |
2.2468385266529 |
L(r)(E,1)/r! |
Ω |
0.37447308777548 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86640ct4 16245c3 27075f4 285c3 |
Quadratic twists by: -4 -3 5 -19 |