Atkin-Lehner |
3- 7- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
28119f |
Isogeny class |
Conductor |
28119 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
47616 |
Modular degree for the optimal curve |
Δ |
-105083430543 = -1 · 36 · 72 · 134 · 103 |
Discriminant |
Eigenvalues |
-1 3- -4 7- -6 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1170,-2349] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-144:1] [9:90:1] |
Generators of the group modulo torsion |
j |
177116123227679/105083430543 |
j-invariant |
L |
5.0286664018094 |
L(r)(E,1)/r! |
Ω |
0.61977158313495 |
Real period |
R |
0.67614512328021 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999945 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84357h1 |
Quadratic twists by: -3 |