Atkin-Lehner |
2- 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
41664di |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-3304179174998016 = -1 · 225 · 33 · 76 · 31 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ -3 1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4703,-2761249] |
[a1,a2,a3,a4,a6] |
Generators |
[146:1029:1] |
Generators of the group modulo torsion |
j |
43874924183/12604443264 |
j-invariant |
L |
4.7108072654585 |
L(r)(E,1)/r! |
Ω |
0.21001116738442 |
Real period |
R |
1.8692685584812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41664bc1 10416q1 124992eq1 |
Quadratic twists by: -4 8 -3 |