Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
86490cx |
Isogeny class |
Conductor |
86490 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-1397498796249840 = -1 · 24 · 39 · 5 · 316 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,12793,1706991] |
[a1,a2,a3,a4,a6] |
Generators |
[4342:101613:8] |
Generators of the group modulo torsion |
j |
357911/2160 |
j-invariant |
L |
9.1853913958747 |
L(r)(E,1)/r! |
Ω |
0.34758084280692 |
Real period |
R |
3.3033291358532 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999945638 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28830h1 90c1 |
Quadratic twists by: -3 -31 |