Atkin-Lehner |
2- 3+ 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
49800w |
Isogeny class |
Conductor |
49800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
512549866800000000 = 210 · 33 · 58 · 834 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-417408,-97777188] |
[a1,a2,a3,a4,a6] |
Generators |
[-10878:59356:27] |
Generators of the group modulo torsion |
j |
502674755419876/32034366675 |
j-invariant |
L |
5.4071761375702 |
L(r)(E,1)/r! |
Ω |
0.18857809399249 |
Real period |
R |
7.1683513486478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999971 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99600s3 9960c3 |
Quadratic twists by: -4 5 |