Atkin-Lehner |
2+ 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
41664j |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
6422116958208 = 226 · 32 · 73 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-127937,-17570367] |
[a1,a2,a3,a4,a6] |
j |
883437180088177/24498432 |
j-invariant |
L |
2.0194864367684 |
L(r)(E,1)/r! |
Ω |
0.2524358045996 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41664dz1 1302o1 124992cc1 |
Quadratic twists by: -4 8 -3 |