Atkin-Lehner |
2+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
83824d |
Isogeny class |
Conductor |
83824 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
489216 |
Modular degree for the optimal curve |
Δ |
12542675566096 = 24 · 138 · 312 |
Discriminant |
Eigenvalues |
2+ -3 2 5 -3 13+ 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15379,714025] |
[a1,a2,a3,a4,a6] |
Generators |
[0:845:1] |
Generators of the group modulo torsion |
j |
30820608/961 |
j-invariant |
L |
5.7411608737653 |
L(r)(E,1)/r! |
Ω |
0.7076897518597 |
Real period |
R |
1.3520898683452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023058 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41912e1 83824h1 |
Quadratic twists by: -4 13 |