Atkin-Lehner |
2+ 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
72450bh |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5898240 |
Modular degree for the optimal curve |
Δ |
7887196800000000000 = 216 · 37 · 511 · 72 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-49545567,-134219316659] |
[a1,a2,a3,a4,a6] |
Generators |
[141791709673042:-5705766180066473:15983964359] |
Generators of the group modulo torsion |
j |
1180838681727016392361/692428800000 |
j-invariant |
L |
4.8391071952765 |
L(r)(E,1)/r! |
Ω |
0.056904730233377 |
Real period |
R |
21.259687789014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002806 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24150bn1 14490bp1 |
Quadratic twists by: -3 5 |