Atkin-Lehner |
2- 3+ 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
42504q |
Isogeny class |
Conductor |
42504 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
50384581632 = 210 · 34 · 74 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5544,160380] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:476:1] [-18:504:1] |
Generators of the group modulo torsion |
j |
18406522832548/49203693 |
j-invariant |
L |
7.1715854260102 |
L(r)(E,1)/r! |
Ω |
1.1299582760291 |
Real period |
R |
1.586692530633 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85008q4 127512s4 |
Quadratic twists by: -4 -3 |