Atkin-Lehner |
2+ 3+ 5+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
100050m |
Isogeny class |
Conductor |
100050 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
17047284507562500 = 22 · 36 · 56 · 232 · 294 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-378725,-89646375] |
[a1,a2,a3,a4,a6] |
Generators |
[1435:47495:1] |
Generators of the group modulo torsion |
j |
384483228869610577/1091026208484 |
j-invariant |
L |
5.1668102129274 |
L(r)(E,1)/r! |
Ω |
0.19248304807515 |
Real period |
R |
3.3553670269637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000005969 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4002o2 |
Quadratic twists by: 5 |