Atkin-Lehner |
2- 3+ 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
112560cb |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-22307238051840 = -1 · 224 · 34 · 5 · 72 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2400,-223488] |
[a1,a2,a3,a4,a6] |
Generators |
[7428:81081:64] |
Generators of the group modulo torsion |
j |
373092501599/5446103040 |
j-invariant |
L |
7.6525878065917 |
L(r)(E,1)/r! |
Ω |
0.33167246455958 |
Real period |
R |
5.768181419023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022862 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14070l1 |
Quadratic twists by: -4 |