Atkin-Lehner |
2+ 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
41664bc |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
24 |
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 |
[57:-1792:1] |
Generators of the group modulo torsion |
j |
43874924183/12604443264 |
j-invariant |
L |
4.458748785918 |
L(r)(E,1)/r! |
Ω |
0.34637226423558 |
Real period |
R |
0.53636280555851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41664di1 1302i1 124992di1 |
Quadratic twists by: -4 8 -3 |