Atkin-Lehner |
2- 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
41664ck |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-20659724477005824 = -1 · 218 · 32 · 710 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 2 -4 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-358177,82916545] |
[a1,a2,a3,a4,a6] |
Generators |
[109:6720:1] |
Generators of the group modulo torsion |
j |
-19385548183592137/78810594471 |
j-invariant |
L |
5.3103688040201 |
L(r)(E,1)/r! |
Ω |
0.3855418049219 |
Real period |
R |
3.4434455201915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41664by1 10416bh1 124992fg1 |
Quadratic twists by: -4 8 -3 |