Atkin-Lehner |
2+ 7- 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
100016i |
Isogeny class |
Conductor |
100016 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
80025602048 = 211 · 72 · 192 · 472 |
Discriminant |
Eigenvalues |
2+ 2 2 7- 2 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15512,748688] |
[a1,a2,a3,a4,a6] |
Generators |
[496:10716:1] |
Generators of the group modulo torsion |
j |
201569651552306/39075001 |
j-invariant |
L |
13.073002179844 |
L(r)(E,1)/r! |
Ω |
1.0523327398537 |
Real period |
R |
1.5528598601144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007817 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50008b2 |
Quadratic twists by: -4 |