Atkin-Lehner |
2+ 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
63840r |
Isogeny class |
Conductor |
63840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-6729598095360 = -1 · 212 · 3 · 5 · 78 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1681,-128161] |
[a1,a2,a3,a4,a6] |
Generators |
[42905:789096:125] |
Generators of the group modulo torsion |
j |
-128329125184/1642968285 |
j-invariant |
L |
7.0894346976628 |
L(r)(E,1)/r! |
Ω |
0.31982020190821 |
Real period |
R |
5.5417345861724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000814 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63840bg2 127680bs1 |
Quadratic twists by: -4 8 |