Atkin-Lehner |
2- 3- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
86394cq |
Isogeny class |
Conductor |
86394 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-18915253398828864 = -1 · 26 · 32 · 73 · 117 · 173 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 11- -5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-772769,261489801] |
[a1,a2,a3,a4,a6] |
Generators |
[340:6001:1] |
Generators of the group modulo torsion |
j |
-28808239025774377/10677167424 |
j-invariant |
L |
15.080677693706 |
L(r)(E,1)/r! |
Ω |
0.37949318821155 |
Real period |
R |
0.55193047848474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999995499 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7854j2 |
Quadratic twists by: -11 |