Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
18720br |
Isogeny class |
Conductor |
18720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-159905041920 = -1 · 29 · 37 · 5 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,933,15806] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:74:1] |
Generators of the group modulo torsion |
j |
240641848/428415 |
j-invariant |
L |
5.1613267661912 |
L(r)(E,1)/r! |
Ω |
0.70215142305181 |
Real period |
R |
3.6753658803099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18720bp4 37440ds3 6240c4 93600w2 |
Quadratic twists by: -4 8 -3 5 |