Atkin-Lehner |
2- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
89012v |
Isogeny class |
Conductor |
89012 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
881280 |
Modular degree for the optimal curve |
Δ |
-1338716717605357552 = -1 · 24 · 73 · 112 · 1710 |
Discriminant |
Eigenvalues |
2- 0 0 7- 11- 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-417605,-117848131] |
[a1,a2,a3,a4,a6] |
j |
-249696000/41503 |
j-invariant |
L |
1.6749982468589 |
L(r)(E,1)/r! |
Ω |
0.093055455473819 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89012f1 |
Quadratic twists by: 17 |