Atkin-Lehner |
2- 3+ 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
51792j |
Isogeny class |
Conductor |
51792 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-2058701909262336 = -1 · 226 · 37 · 132 · 83 |
Discriminant |
Eigenvalues |
2- 3+ -3 2 3 13- 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,27248,-1338944] |
[a1,a2,a3,a4,a6] |
Generators |
[434:9594:1] |
Generators of the group modulo torsion |
j |
546200027079407/502612770816 |
j-invariant |
L |
4.3726589594571 |
L(r)(E,1)/r! |
Ω |
0.2547214171311 |
Real period |
R |
4.2916090534747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999134 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6474k1 |
Quadratic twists by: -4 |