Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
106134z |
Isogeny class |
Conductor |
106134 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
-3295649193984 = -1 · 213 · 32 · 73 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 2 -5 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2158,-78172] |
[a1,a2,a3,a4,a6] |
Generators |
[144:1723:1] |
Generators of the group modulo torsion |
j |
24880481/73728 |
j-invariant |
L |
8.1935824792488 |
L(r)(E,1)/r! |
Ω |
0.40752751336915 |
Real period |
R |
1.67546611404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010961 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106134h1 106134cf1 |
Quadratic twists by: -7 -19 |