Atkin-Lehner |
2+ 3+ 5- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810l |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
-150207750000 = -1 · 24 · 33 · 56 · 7 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11- -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,891,15365] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:611:8] [1:127:1] |
Generators of the group modulo torsion |
j |
2895468572277/5563250000 |
j-invariant |
L |
9.5356669203625 |
L(r)(E,1)/r! |
Ω |
0.7088768241799 |
Real period |
R |
1.1209830588283 |
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 |
117810cg1 |
Quadratic twists by: -3 |