Atkin-Lehner |
2- 7+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
78736o |
Isogeny class |
Conductor |
78736 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
559872 |
Modular degree for the optimal curve |
Δ |
-2207756815151104 = -1 · 212 · 79 · 192 · 37 |
Discriminant |
Eigenvalues |
2- 2 3 7+ -3 5 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65749,-6849699] |
[a1,a2,a3,a4,a6] |
Generators |
[289500705970668129483669630:-3432686102000523604942464591:783245228909648801412376] |
Generators of the group modulo torsion |
j |
-7674283260116992/539003128699 |
j-invariant |
L |
12.310810310603 |
L(r)(E,1)/r! |
Ω |
0.14847142822837 |
Real period |
R |
41.458516488667 |
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 |
4921e1 |
Quadratic twists by: -4 |