Atkin-Lehner |
2+ 3- 5+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
63270g |
Isogeny class |
Conductor |
63270 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
11684703600 = 24 · 37 · 52 · 192 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-85230,9598500] |
[a1,a2,a3,a4,a6] |
Generators |
[168:-66:1] |
Generators of the group modulo torsion |
j |
93923986054560481/16028400 |
j-invariant |
L |
3.52240884598 |
L(r)(E,1)/r! |
Ω |
1.0002017582957 |
Real period |
R |
0.44021228924478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000489 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21090q2 |
Quadratic twists by: -3 |