Atkin-Lehner |
2- 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
56784br |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1248000 |
Modular degree for the optimal curve |
Δ |
-1.7953978713432E+19 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 0 13- 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,128891,-203126483] |
[a1,a2,a3,a4,a6] |
Generators |
[2579240149180:365051422297809:128787625] |
Generators of the group modulo torsion |
j |
5451776/413343 |
j-invariant |
L |
6.5596536251729 |
L(r)(E,1)/r! |
Ω |
0.10393963996281 |
Real period |
R |
15.777555193379 |
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 |
3549e1 56784ch1 |
Quadratic twists by: -4 13 |