Atkin-Lehner |
2+ 3- 5- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
47430l |
Isogeny class |
Conductor |
47430 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
46647807206400 = 210 · 38 · 52 · 172 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-50634,-4360460] |
[a1,a2,a3,a4,a6] |
Generators |
[2638:29371:8] |
Generators of the group modulo torsion |
j |
19693718244927649/63988761600 |
j-invariant |
L |
4.9604951441921 |
L(r)(E,1)/r! |
Ω |
0.31832696929574 |
Real period |
R |
3.8957546977183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15810n2 |
Quadratic twists by: -3 |