Atkin-Lehner |
2- 3+ 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
40584o |
Isogeny class |
Conductor |
40584 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2.2316382270809E+19 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 4 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34795664,79013511948] |
[a1,a2,a3,a4,a6] |
Generators |
[118237637:-24973152588:117649] |
Generators of the group modulo torsion |
j |
-2274935866118114391777314/10896671030668641 |
j-invariant |
L |
3.396902819116 |
L(r)(E,1)/r! |
Ω |
0.18952234692016 |
Real period |
R |
8.9617474517258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81168bc2 121752g2 |
Quadratic twists by: -4 -3 |