Atkin-Lehner |
2+ 3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
21960l |
Isogeny class |
Conductor |
21960 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-14407956000000000 = -1 · 211 · 310 · 59 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -6 1 -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-296067,-62274274] |
[a1,a2,a3,a4,a6] |
Generators |
[742:11250:1] |
Generators of the group modulo torsion |
j |
-1922366726113538/9650390625 |
j-invariant |
L |
4.2123962758706 |
L(r)(E,1)/r! |
Ω |
0.10230377536012 |
Real period |
R |
2.2875208124272 |
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 |
43920v1 7320k1 109800bq1 |
Quadratic twists by: -4 -3 5 |