Atkin-Lehner |
2- 5+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
26350o |
Isogeny class |
Conductor |
26350 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
-1686400000000000 = -1 · 216 · 511 · 17 · 31 |
Discriminant |
Eigenvalues |
2- -2 5+ -1 1 3 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-177088,-28766208] |
[a1,a2,a3,a4,a6] |
Generators |
[832:-20416:1] |
Generators of the group modulo torsion |
j |
-39307121282620729/107929600000 |
j-invariant |
L |
5.6567379753408 |
L(r)(E,1)/r! |
Ω |
0.11634583418121 |
Real period |
R |
0.75968797238615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5270a1 |
Quadratic twists by: 5 |