Atkin-Lehner |
2- 3+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
83904ba |
Isogeny class |
Conductor |
83904 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-120048500736 = -1 · 214 · 36 · 19 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 1 5 -3 0 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1195,-5427] |
[a1,a2,a3,a4,a6] |
Generators |
[68:621:1] |
Generators of the group modulo torsion |
j |
11509170176/7327179 |
j-invariant |
L |
6.7944616620642 |
L(r)(E,1)/r! |
Ω |
0.60112015745719 |
Real period |
R |
2.825750216657 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002028 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83904n1 20976n1 |
Quadratic twists by: -4 8 |