Atkin-Lehner |
2+ 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
84600l |
Isogeny class |
Conductor |
84600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
117395316900000000 = 28 · 312 · 58 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-125175,4338250] |
[a1,a2,a3,a4,a6] |
Generators |
[-6315:123200:27] |
Generators of the group modulo torsion |
j |
74385620944/40259025 |
j-invariant |
L |
7.0217965641204 |
L(r)(E,1)/r! |
Ω |
0.28968214968657 |
Real period |
R |
6.0599147810892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001861 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28200x2 16920n2 |
Quadratic twists by: -3 5 |