Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
24640bv |
Isogeny class |
Conductor |
24640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
22077440000 = 216 · 54 · 72 · 11 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 11- 0 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-705,703] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:80:1] |
Generators of the group modulo torsion |
j |
592143556/336875 |
j-invariant |
L |
4.1240698539881 |
L(r)(E,1)/r! |
Ω |
1.0363690847467 |
Real period |
R |
0.49741809104089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24640t2 6160b2 123200eq2 |
Quadratic twists by: -4 8 5 |