Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160bw |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
18590691833118720 = 215 · 39 · 5 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-80652,-5889616] |
[a1,a2,a3,a4,a6] |
Generators |
[340:2448:1] |
Generators of the group modulo torsion |
j |
2428799546888/778248135 |
j-invariant |
L |
5.1184640879657 |
L(r)(E,1)/r! |
Ω |
0.29048461547329 |
Real period |
R |
4.4051077194107 |
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 |
20160cf4 10080i2 6720a4 100800el3 |
Quadratic twists by: -4 8 -3 5 |