Atkin-Lehner |
3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
5415l |
Isogeny class |
Conductor |
5415 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
21494821973765625 = 34 · 56 · 198 |
Discriminant |
Eigenvalues |
-1 3- 5- 4 4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-138090,18437067] |
[a1,a2,a3,a4,a6] |
j |
6189976379881/456890625 |
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 |
4 |
Number of elements in the torsion subgroup |
Twists |
86640ct2 16245c2 27075f2 285c2 |
Quadratic twists by: -4 -3 5 -19 |