Atkin-Lehner |
2- 3+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128064bx |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13808640 |
Modular degree for the optimal curve |
Δ |
-3.1050064109214E+23 |
Discriminant |
Eigenvalues |
2- 3+ -3 -1 0 2 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19380577,-42386845919] |
[a1,a2,a3,a4,a6] |
j |
-24568232187014512221896/9475727572392030927 |
j-invariant |
L |
0.14120701556649 |
L(r)(E,1)/r! |
Ω |
0.035301883599568 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128064dj1 64032v1 |
Quadratic twists by: -4 8 |