Atkin-Lehner |
2- 3+ 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
106800bj |
Isogeny class |
Conductor |
106800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
102656160000000000 = 214 · 34 · 510 · 892 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5340008,4751398512] |
[a1,a2,a3,a4,a6] |
Generators |
[1693:23674:1] |
Generators of the group modulo torsion |
j |
263129501187842401/1604002500 |
j-invariant |
L |
5.2838822943072 |
L(r)(E,1)/r! |
Ω |
0.2989892936294 |
Real period |
R |
4.4181199722776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002949 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13350h2 21360p2 |
Quadratic twists by: -4 5 |