Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
20160bv |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
3527193600 = 210 · 39 · 52 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 6 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2208,-39832] |
[a1,a2,a3,a4,a6] |
Generators |
[298:5076:1] |
Generators of the group modulo torsion |
j |
1594753024/4725 |
j-invariant |
L |
5.5621652692379 |
L(r)(E,1)/r! |
Ω |
0.6965898424371 |
Real period |
R |
3.9924249037124 |
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 |
20160dy1 1260j1 6720o1 100800ei1 |
Quadratic twists by: -4 8 -3 5 |