Atkin-Lehner |
2+ 3+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
41664d |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-41664 = -1 · 26 · 3 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ 4 -5 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,9,-3] |
[a1,a2,a3,a4,a6] |
Generators |
[4:9:1] |
Generators of the group modulo torsion |
j |
1124864/651 |
j-invariant |
L |
3.7088472961596 |
L(r)(E,1)/r! |
Ω |
2.1590373531742 |
Real period |
R |
1.7178245159602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41664ca1 20832k1 124992bg1 |
Quadratic twists by: -4 8 -3 |