Atkin-Lehner |
13+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
93119a |
Isogeny class |
Conductor |
93119 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1239840 |
Modular degree for the optimal curve |
Δ |
-356480416138293707 = -1 · 1311 · 193 · 29 |
Discriminant |
Eigenvalues |
-2 -1 0 0 -5 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-407008,104125192] |
[a1,a2,a3,a4,a6] |
Generators |
[-368:14280:1] |
Generators of the group modulo torsion |
j |
-1544804416000000/73854261923 |
j-invariant |
L |
1.2101945568444 |
L(r)(E,1)/r! |
Ω |
0.29947709300892 |
Real period |
R |
1.0102563835585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998105858 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7163a1 |
Quadratic twists by: 13 |