Atkin-Lehner |
2+ 3- 5- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
44850bg |
Isogeny class |
Conductor |
44850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1349760 |
Modular degree for the optimal curve |
Δ |
-4225228800000000 = -1 · 219 · 3 · 58 · 13 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 2 13- -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8607326,-9720363952] |
[a1,a2,a3,a4,a6] |
Generators |
[349697790502957792987954839131755756:-43448369578413135332377792979243618808:22003593622493245819046866386701] |
Generators of the group modulo torsion |
j |
-180537889439091492985/10816585728 |
j-invariant |
L |
4.9641224958906 |
L(r)(E,1)/r! |
Ω |
0.044070958945773 |
Real period |
R |
56.319656012009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44850bh1 |
Quadratic twists by: 5 |