Atkin-Lehner |
2- 3+ 5+ 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810ci |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
45338707260 = 22 · 33 · 5 · 74 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-893,-439] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:106:1] |
Generators of the group modulo torsion |
j |
2913790403187/1679211380 |
j-invariant |
L |
9.9805395119777 |
L(r)(E,1)/r! |
Ω |
0.95150057455046 |
Real period |
R |
1.3111578408043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001167 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810j2 |
Quadratic twists by: -3 |