Atkin-Lehner |
2+ 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
41664bb |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-41664 = -1 · 26 · 3 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 0 -5 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-342749,-77120553] |
[a1,a2,a3,a4,a6] |
Generators |
[714:6453:1] |
Generators of the group modulo torsion |
j |
-69578264895333695488/651 |
j-invariant |
L |
6.1781870424154 |
L(r)(E,1)/r! |
Ω |
0.098656431903908 |
Real period |
R |
6.9581396132794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
8.9999999999955 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41664dh3 651e3 124992dk3 |
Quadratic twists by: -4 8 -3 |