Atkin-Lehner |
2- 3- 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
81396m |
Isogeny class |
Conductor |
81396 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
49642803092736 = 28 · 36 · 77 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -2 -1 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10008,-183276] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:441:1] |
Generators of the group modulo torsion |
j |
594015952896/266004389 |
j-invariant |
L |
5.428150522281 |
L(r)(E,1)/r! |
Ω |
0.4976893864739 |
Real period |
R |
0.77905024250446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002099 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9044f1 |
Quadratic twists by: -3 |