Atkin-Lehner |
2+ 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
103200bd |
Isogeny class |
Conductor |
103200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
9984600000000 = 29 · 33 · 58 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5408,16188] |
[a1,a2,a3,a4,a6] |
Generators |
[103:750:1] |
Generators of the group modulo torsion |
j |
2186875592/1248075 |
j-invariant |
L |
6.4959529441332 |
L(r)(E,1)/r! |
Ω |
0.62163119081793 |
Real period |
R |
1.741641732052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001372 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103200bp2 20640o2 |
Quadratic twists by: -4 5 |