Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
63840bw |
Isogeny class |
Conductor |
63840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1751769600 = 29 · 3 · 52 · 74 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15216,717384] |
[a1,a2,a3,a4,a6] |
Generators |
[134:1050:1] |
Generators of the group modulo torsion |
j |
760998483955592/3421425 |
j-invariant |
L |
8.3000938891236 |
L(r)(E,1)/r! |
Ω |
1.3149145281989 |
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 |
63840bd4 127680eq4 |
Quadratic twists by: -4 8 |