Atkin-Lehner |
2+ 3+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
84600b |
Isogeny class |
Conductor |
84600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3999744 |
Modular degree for the optimal curve |
Δ |
-1156376250000000000 = -1 · 210 · 39 · 513 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 -6 -1 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34431075,77763192750] |
[a1,a2,a3,a4,a6] |
Generators |
[3279:10908:1] |
Generators of the group modulo torsion |
j |
-14333893854522732/3671875 |
j-invariant |
L |
6.2874204061254 |
L(r)(E,1)/r! |
Ω |
0.21907013926131 |
Real period |
R |
3.5875612850378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005649 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84600be1 16920i1 |
Quadratic twists by: -3 5 |