Atkin-Lehner |
2+ 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
71200f |
Isogeny class |
Conductor |
71200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-63368000000 = -1 · 29 · 56 · 892 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 -4 -4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-475,-12750] |
[a1,a2,a3,a4,a6] |
Generators |
[34:102:1] [2010:16300:27] |
Generators of the group modulo torsion |
j |
-1481544/7921 |
j-invariant |
L |
9.0543702004643 |
L(r)(E,1)/r! |
Ω |
0.46008720910359 |
Real period |
R |
19.679682506474 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71200m2 2848d2 |
Quadratic twists by: -4 5 |