Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
63840bw |
Isogeny class |
Conductor |
63840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-945817689600 = -1 · 29 · 34 · 52 · 7 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,784,46284] |
[a1,a2,a3,a4,a6] |
Generators |
[199:2850:1] |
Generators of the group modulo torsion |
j |
103955596408/1847300175 |
j-invariant |
L |
8.3000938891236 |
L(r)(E,1)/r! |
Ω |
0.65745726409947 |
Real period |
R |
1.578067188229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63840bd2 127680eq3 |
Quadratic twists by: -4 8 |