Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160b |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2904249600000000 = 214 · 33 · 58 · 75 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 2 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1073148,-427887472] |
[a1,a2,a3,a4,a6] |
Generators |
[217420458983:-11829073931875:65450827] |
Generators of the group modulo torsion |
j |
308971819397054448/6565234375 |
j-invariant |
L |
5.0589676823774 |
L(r)(E,1)/r! |
Ω |
0.14833211980529 |
Real period |
R |
17.052839563737 |
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 |
20160cx2 2520b2 20160o2 100800u2 |
Quadratic twists by: -4 8 -3 5 |