Atkin-Lehner |
2+ 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
22080t |
Isogeny class |
Conductor |
22080 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-83204505600000 = -1 · 224 · 3 · 55 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -2 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8575,-317823] |
[a1,a2,a3,a4,a6] |
Generators |
[79:920:1] |
Generators of the group modulo torsion |
j |
265971760991/317400000 |
j-invariant |
L |
4.6526310744992 |
L(r)(E,1)/r! |
Ω |
0.32621499801755 |
Real period |
R |
1.4262468319279 |
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 |
22080cv1 690i1 66240bb1 110400cu1 |
Quadratic twists by: -4 8 -3 5 |