Atkin-Lehner |
2+ 3- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
93138l |
Isogeny class |
Conductor |
93138 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-348601377024 = -1 · 28 · 35 · 194 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -1 1 -1 -5 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1436,19298] |
[a1,a2,a3,a4,a6] |
Generators |
[49:431:1] [36:325:1] |
Generators of the group modulo torsion |
j |
2515401431/2674944 |
j-invariant |
L |
9.6058454039093 |
L(r)(E,1)/r! |
Ω |
0.63506170539273 |
Real period |
R |
0.50419485871867 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93138y1 |
Quadratic twists by: -19 |