Atkin-Lehner |
3+ 7- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
89817d |
Isogeny class |
Conductor |
89817 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
514304 |
Modular degree for the optimal curve |
Δ |
-700996267776987 = -1 · 37 · 79 · 132 · 47 |
Discriminant |
Eigenvalues |
-2 3+ 2 7- -3 13- 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,4688,-1269402] |
[a1,a2,a3,a4,a6] |
Generators |
[278:4630:1] |
Generators of the group modulo torsion |
j |
282300416/17371341 |
j-invariant |
L |
2.8569916016633 |
L(r)(E,1)/r! |
Ω |
0.24283570503343 |
Real period |
R |
2.9412804056572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999916985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89817n1 |
Quadratic twists by: -7 |