Atkin-Lehner |
2+ 3+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
83904a |
Isogeny class |
Conductor |
83904 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-4220455104 = -1 · 26 · 38 · 19 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ -1 1 3 6 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1861,31687] |
[a1,a2,a3,a4,a6] |
Generators |
[34:81:1] |
Generators of the group modulo torsion |
j |
-11143361069056/65944611 |
j-invariant |
L |
5.8092470562736 |
L(r)(E,1)/r! |
Ω |
1.3925344859125 |
Real period |
R |
1.0429269643501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994687 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83904br1 1311c1 |
Quadratic twists by: -4 8 |