Atkin-Lehner |
2+ 3+ 5- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810l |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
6685146121500 = 22 · 33 · 53 · 72 · 112 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11- -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6609,166865] |
[a1,a2,a3,a4,a6] |
Generators |
[-722:1551:8] [16:247:1] |
Generators of the group modulo torsion |
j |
1182508214667723/247598004500 |
j-invariant |
L |
9.5356669203625 |
L(r)(E,1)/r! |
Ω |
0.7088768241799 |
Real period |
R |
0.28024576470708 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.999999999155 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810cg2 |
Quadratic twists by: -3 |