Atkin-Lehner |
2- 3+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
26550bl |
Isogeny class |
Conductor |
26550 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-11090466000000000 = -1 · 210 · 33 · 59 · 593 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 0 1 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-376355,89106147] |
[a1,a2,a3,a4,a6] |
Generators |
[599:8550:1] |
Generators of the group modulo torsion |
j |
-13974359467794363/26288512000 |
j-invariant |
L |
8.6723203831455 |
L(r)(E,1)/r! |
Ω |
0.40443762170335 |
Real period |
R |
0.17869093439389 |
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 |
26550a2 5310c1 |
Quadratic twists by: -3 5 |