Atkin-Lehner |
2+ 3- 31+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
123504l |
Isogeny class |
Conductor |
123504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
102912 |
Modular degree for the optimal curve |
Δ |
58868922624 = 28 · 3 · 314 · 83 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 4 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1364,15036] |
[a1,a2,a3,a4,a6] |
Generators |
[-29529:53900:729] |
Generators of the group modulo torsion |
j |
1097097477712/229956729 |
j-invariant |
L |
8.9473359960045 |
L(r)(E,1)/r! |
Ω |
1.051522231501 |
Real period |
R |
8.5089366022932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999913498 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61752l1 |
Quadratic twists by: -4 |