Atkin-Lehner |
2+ 3- 5+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
104550x |
Isogeny class |
Conductor |
104550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
450355659375000 = 23 · 3 · 58 · 17 · 414 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1360876,-611161102] |
[a1,a2,a3,a4,a6] |
Generators |
[-8201064:3833618:12167] |
Generators of the group modulo torsion |
j |
17838522994473393841/28822762200 |
j-invariant |
L |
5.7073021403135 |
L(r)(E,1)/r! |
Ω |
0.13977998716057 |
Real period |
R |
10.207652487225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000041336 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20910k3 |
Quadratic twists by: 5 |