Atkin-Lehner |
2+ 3- 5- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
63270s |
Isogeny class |
Conductor |
63270 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-389385060165000 = -1 · 23 · 37 · 54 · 19 · 374 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 0 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,15471,590085] |
[a1,a2,a3,a4,a6] |
j |
561740261198831/534135885000 |
j-invariant |
L |
2.8030143742842 |
L(r)(E,1)/r! |
Ω |
0.35037679720039 |
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 |
21090n3 |
Quadratic twists by: -3 |