Atkin-Lehner |
3- 7+ 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
28497f |
Isogeny class |
Conductor |
28497 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-256473 = -1 · 33 · 7 · 23 · 59 |
Discriminant |
Eigenvalues |
-1 3- -4 7+ -1 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-70,221] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:23:1] [5:-1:1] |
Generators of the group modulo torsion |
j |
-37966934881/256473 |
j-invariant |
L |
4.887220200507 |
L(r)(E,1)/r! |
Ω |
3.127209001949 |
Real period |
R |
0.5209352490204 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85491e1 |
Quadratic twists by: -3 |