Atkin-Lehner |
2+ 3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
71478o |
Isogeny class |
Conductor |
71478 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
4128743505623616 = 26 · 38 · 11 · 197 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 11+ 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-118656,15454912] |
[a1,a2,a3,a4,a6] |
Generators |
[-336:4328:1] |
Generators of the group modulo torsion |
j |
5386984777/120384 |
j-invariant |
L |
4.6305127713436 |
L(r)(E,1)/r! |
Ω |
0.43832314576828 |
Real period |
R |
5.282076495168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000523 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23826bc1 3762n1 |
Quadratic twists by: -3 -19 |