Atkin-Lehner |
2+ 5- 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
21350l |
Isogeny class |
Conductor |
21350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-167584566570312500 = -1 · 22 · 59 · 78 · 612 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 2 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-378742,-91756584] |
[a1,a2,a3,a4,a6] |
j |
-3076271929968453/85803298084 |
j-invariant |
L |
1.5370546988921 |
L(r)(E,1)/r! |
Ω |
0.096065918680758 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21350ba2 |
Quadratic twists by: 5 |