Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160dr |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
10922223049113600 = 224 · 312 · 52 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-207948,36150928] |
[a1,a2,a3,a4,a6] |
Generators |
[-283:8505:1] |
Generators of the group modulo torsion |
j |
5203798902289/57153600 |
j-invariant |
L |
4.4200854741168 |
L(r)(E,1)/r! |
Ω |
0.40629377326846 |
Real period |
R |
2.719759546497 |
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 |
20160bn2 5040bj2 6720cg2 100800mv2 |
Quadratic twists by: -4 8 -3 5 |