Atkin-Lehner |
2- 5+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
26650m |
Isogeny class |
Conductor |
26650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-13012695312500 = -1 · 22 · 514 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 -2 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-16088,-805708] |
[a1,a2,a3,a4,a6] |
Generators |
[33353592:424500154:132651] |
Generators of the group modulo torsion |
j |
-29472131485369/832812500 |
j-invariant |
L |
9.8960547675385 |
L(r)(E,1)/r! |
Ω |
0.21160230961359 |
Real period |
R |
11.691808545958 |
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 |
5330a1 |
Quadratic twists by: 5 |