Atkin-Lehner |
2+ 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
86490l |
Isogeny class |
Conductor |
86490 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
10830615670936260 = 22 · 39 · 5 · 317 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 4 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-66489,4314905] |
[a1,a2,a3,a4,a6] |
Generators |
[27505:54959:125] |
Generators of the group modulo torsion |
j |
1860867/620 |
j-invariant |
L |
6.7795173302057 |
L(r)(E,1)/r! |
Ω |
0.37307093396198 |
Real period |
R |
4.5430484611385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000708 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86490bz1 2790d1 |
Quadratic twists by: -3 -31 |