Atkin-Lehner |
2- 3+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
83904bd |
Isogeny class |
Conductor |
83904 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
-27563219136 = -1 · 26 · 34 · 19 · 234 |
Discriminant |
Eigenvalues |
2- 3+ -3 -1 -3 4 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-787,11929] |
[a1,a2,a3,a4,a6] |
Generators |
[40:207:1] |
Generators of the group modulo torsion |
j |
-843372923392/430675299 |
j-invariant |
L |
3.5611017029319 |
L(r)(E,1)/r! |
Ω |
1.1030006225147 |
Real period |
R |
0.40356977503772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948723 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83904bp1 41952q1 |
Quadratic twists by: -4 8 |