Atkin-Lehner |
2- 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54910s |
Isogeny class |
Conductor |
54910 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
-51221365840000 = -1 · 27 · 54 · 173 · 194 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 -2 -6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,8409,-173879] |
[a1,a2,a3,a4,a6] |
Generators |
[110:-1499:1] [26:237:1] |
Generators of the group modulo torsion |
j |
13384642553407/10425680000 |
j-invariant |
L |
9.5243976801576 |
L(r)(E,1)/r! |
Ω |
0.3523053053198 |
Real period |
R |
1.9310356947192 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999964 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54910bc2 |
Quadratic twists by: 17 |