Atkin-Lehner |
2+ 3- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
28158i |
Isogeny class |
Conductor |
28158 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
50400 |
Modular degree for the optimal curve |
Δ |
-468713112192 = -1 · 27 · 35 · 133 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 2 -5 1 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,695,-32116] |
[a1,a2,a3,a4,a6] |
Generators |
[106:1058:1] |
Generators of the group modulo torsion |
j |
5423945093/68335488 |
j-invariant |
L |
4.7693540669974 |
L(r)(E,1)/r! |
Ω |
0.45910621549884 |
Real period |
R |
0.34627818908349 |
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 |
84474cd1 28158k1 |
Quadratic twists by: -3 -19 |