Atkin-Lehner |
2+ 3- 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
26550z |
Isogeny class |
Conductor |
26550 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
18144 |
Modular degree for the optimal curve |
Δ |
-12688245000 = -1 · 23 · 36 · 54 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -1 2 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-267,5741] |
[a1,a2,a3,a4,a6] |
Generators |
[29:133:1] |
Generators of the group modulo torsion |
j |
-4629825/27848 |
j-invariant |
L |
3.7203856178394 |
L(r)(E,1)/r! |
Ω |
1.0907369389802 |
Real period |
R |
0.56848195699657 |
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 |
2950v1 26550bq1 |
Quadratic twists by: -3 5 |