Atkin-Lehner |
2- 3- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
88920ba |
Isogeny class |
Conductor |
88920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
19537920 |
Modular degree for the optimal curve |
Δ |
-1.6272075264961E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 2 13+ 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-678506943,-6802672688633] |
[a1,a2,a3,a4,a6] |
Generators |
[1650075497898164234086723872850369:221706734966281818760401262730109375:41716353774370230719106623909] |
Generators of the group modulo torsion |
j |
-2961686524287311350789156096/139506818115234375 |
j-invariant |
L |
5.7467311748697 |
L(r)(E,1)/r! |
Ω |
0.01479043624639 |
Real period |
R |
48.567965467147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29640g1 |
Quadratic twists by: -3 |