Atkin-Lehner |
2+ 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
41664bv |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
708038394642432 = 224 · 34 · 75 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ 2 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-696225,223364799] |
[a1,a2,a3,a4,a6] |
Generators |
[-285:19968:1] |
Generators of the group modulo torsion |
j |
142374842119352809/2700952128 |
j-invariant |
L |
5.3449400850792 |
L(r)(E,1)/r! |
Ω |
0.46770623862861 |
Real period |
R |
2.8569963599086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41664cy1 1302b1 124992cj1 |
Quadratic twists by: -4 8 -3 |