Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
20160fd |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
391910400 = 210 · 37 · 52 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-192,376] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:36:1] |
Generators of the group modulo torsion |
j |
1048576/525 |
j-invariant |
L |
5.358284215217 |
L(r)(E,1)/r! |
Ω |
1.4947964887099 |
Real period |
R |
0.89615614160321 |
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 |
20160by1 5040bh1 6720bz1 100800ln1 |
Quadratic twists by: -4 8 -3 5 |