Atkin-Lehner |
2- 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
23940j |
Isogeny class |
Conductor |
23940 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-1319940602190000 = -1 · 24 · 310 · 54 · 76 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21108,2109193] |
[a1,a2,a3,a4,a6] |
Generators |
[44:1125:1] |
Generators of the group modulo torsion |
j |
-89169731239936/113163631875 |
j-invariant |
L |
5.31621846633 |
L(r)(E,1)/r! |
Ω |
0.4359677266679 |
Real period |
R |
2.0323440402962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95760ed1 7980f1 119700be1 |
Quadratic twists by: -4 -3 5 |