Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712fa |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4747927974248448 = 216 · 318 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11- 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-152364,-22650032] |
[a1,a2,a3,a4,a6] |
Generators |
[-26580:45752:125] |
Generators of the group modulo torsion |
j |
8187726931492/99379467 |
j-invariant |
L |
7.3419252628438 |
L(r)(E,1)/r! |
Ω |
0.24182305290888 |
Real period |
R |
7.5901833477736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034945 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712bm3 26928p3 35904cm3 |
Quadratic twists by: -4 8 -3 |