Atkin-Lehner |
2- 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
41664do |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
637834176 = 26 · 38 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2052,-36450] |
[a1,a2,a3,a4,a6] |
j |
14937827321152/9966159 |
j-invariant |
L |
2.837363408768 |
L(r)(E,1)/r! |
Ω |
0.70934085219533 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41664ct1 20832y2 124992fh1 |
Quadratic twists by: -4 8 -3 |