Atkin-Lehner |
2+ 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680cx |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-1.83290625E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10518305,-24430589025] |
[a1,a2,a3,a4,a6] |
j |
-3927453919825081955912/5593585968017578125 |
j-invariant |
L |
3.1888000082259 |
L(r)(E,1)/r! |
Ω |
0.039859991003197 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680bl3 63840bc2 |
Quadratic twists by: -4 8 |