Atkin-Lehner |
3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
28665b |
Isogeny class |
Conductor |
28665 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
144480 |
Modular degree for the optimal curve |
Δ |
-6323266096875 = -1 · 33 · 55 · 78 · 13 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7+ -4 13- 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-48363,-4095506] |
[a1,a2,a3,a4,a6] |
j |
-80373952512/40625 |
j-invariant |
L |
0.96578250640589 |
L(r)(E,1)/r! |
Ω |
0.16096375106782 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28665k1 28665p1 |
Quadratic twists by: -3 -7 |