Atkin-Lehner |
2- 3- 5+ 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810dk |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
639744 |
Modular degree for the optimal curve |
Δ |
-665934932234880 = -1 · 27 · 36 · 5 · 74 · 112 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- 5 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-71048,-7376309] |
[a1,a2,a3,a4,a6] |
Generators |
[503:-9415:1] |
Generators of the group modulo torsion |
j |
-54405903178523961/913490990720 |
j-invariant |
L |
10.552271231403 |
L(r)(E,1)/r! |
Ω |
0.14606599906946 |
Real period |
R |
0.86003777503004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999774781 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13090f1 |
Quadratic twists by: -3 |