Atkin-Lehner |
2+ 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
41664l |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3999488016384 = 220 · 34 · 72 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3969,3969] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:124:1] [-49:280:1] |
Generators of the group modulo torsion |
j |
26383748833/15256836 |
j-invariant |
L |
6.5468668586178 |
L(r)(E,1)/r! |
Ω |
0.66311349356479 |
Real period |
R |
4.9364602908492 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
41664eb2 1302n2 124992ca2 |
Quadratic twists by: -4 8 -3 |