Atkin-Lehner |
2- 3+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
83904t |
Isogeny class |
Conductor |
83904 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
71139852288 = 218 · 33 · 19 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 -4 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-361857,-83662047] |
[a1,a2,a3,a4,a6] |
j |
19989223566735457/271377 |
j-invariant |
L |
0.38930965600143 |
L(r)(E,1)/r! |
Ω |
0.19465484166834 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83904p1 20976j1 |
Quadratic twists by: -4 8 |