Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20280a |
Isogeny class |
Conductor |
20280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
563833074355200 = 210 · 33 · 52 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-411278456,3210484668156] |
[a1,a2,a3,a4,a6] |
Generators |
[142714862:47147620:12167] |
Generators of the group modulo torsion |
j |
1556580279686303289604/114075 |
j-invariant |
L |
4.5227189802985 |
L(r)(E,1)/r! |
Ω |
0.19823021153021 |
Real period |
R |
5.7038719595085 |
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 |
40560o4 60840br4 101400cx4 1560j4 |
Quadratic twists by: -4 -3 5 13 |