Atkin-Lehner |
2+ 3+ 5- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
58650r |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
504000 |
Modular degree for the optimal curve |
Δ |
4440595858593750 = 2 · 37 · 58 · 173 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 3 -2 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-295450,-61852250] |
[a1,a2,a3,a4,a6] |
Generators |
[-315:445:1] |
Generators of the group modulo torsion |
j |
7301598649053385/11367925398 |
j-invariant |
L |
4.3402973490777 |
L(r)(E,1)/r! |
Ω |
0.20479482311037 |
Real period |
R |
1.1774107707028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995849 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58650ca1 |
Quadratic twists by: 5 |