Atkin-Lehner |
3- 5- 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
109725ch |
Isogeny class |
Conductor |
109725 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-101428144125 = -1 · 3 · 53 · 76 · 112 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 11- -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1127,4862] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:52:1] |
Generators of the group modulo torsion |
j |
1266372183259/811425153 |
j-invariant |
L |
4.7138597526303 |
L(r)(E,1)/r! |
Ω |
0.66212617310775 |
Real period |
R |
3.5596385706788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000005034 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109725bg2 |
Quadratic twists by: 5 |