Atkin-Lehner |
5+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
59245a |
Isogeny class |
Conductor |
59245 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
24741008225 = 52 · 176 · 41 |
Discriminant |
Eigenvalues |
-1 0 5+ 4 0 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6268,192406] |
[a1,a2,a3,a4,a6] |
Generators |
[-202:4721:8] |
Generators of the group modulo torsion |
j |
1128111921/1025 |
j-invariant |
L |
3.5977684736989 |
L(r)(E,1)/r! |
Ω |
1.1879963837603 |
Real period |
R |
3.0284338595705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
205a1 |
Quadratic twists by: 17 |