Atkin-Lehner |
2- 3- 7+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
28938n |
Isogeny class |
Conductor |
28938 |
Conductor |
∏ cp |
270 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-1877940868317696 = -1 · 29 · 315 · 7 · 13 · 532 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ -1 13+ -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2412,2085264] |
[a1,a2,a3,a4,a6] |
Generators |
[18:-1440:1] |
Generators of the group modulo torsion |
j |
-1551911230602433/1877940868317696 |
j-invariant |
L |
7.5479114869144 |
L(r)(E,1)/r! |
Ω |
0.37780681280807 |
Real period |
R |
0.073993445278378 |
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 |
86814j1 |
Quadratic twists by: -3 |