Atkin-Lehner |
2- 3- 7- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
28938t |
Isogeny class |
Conductor |
28938 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-926016 = -1 · 26 · 3 · 7 · 13 · 53 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -2 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-165,-831] |
[a1,a2,a3,a4,a6] |
Generators |
[20:53:1] |
Generators of the group modulo torsion |
j |
-496981290961/926016 |
j-invariant |
L |
10.934720624663 |
L(r)(E,1)/r! |
Ω |
0.66594194379864 |
Real period |
R |
2.7366551309988 |
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 |
86814q1 |
Quadratic twists by: -3 |