Atkin-Lehner |
2+ 3- 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
107640p |
Isogeny class |
Conductor |
107640 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
85008690000 = 24 · 37 · 54 · 132 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1182,-6919] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:65:1] [-23:90:1] |
Generators of the group modulo torsion |
j |
15657723904/7288125 |
j-invariant |
L |
11.997037554521 |
L(r)(E,1)/r! |
Ω |
0.85159758533584 |
Real period |
R |
0.88048024101895 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35880h1 |
Quadratic twists by: -3 |