Atkin-Lehner |
3- 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
113925cr |
Isogeny class |
Conductor |
113925 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
561600 |
Modular degree for the optimal curve |
Δ |
-3771994447265625 = -1 · 33 · 59 · 74 · 313 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 0 -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12888,3007017] |
[a1,a2,a3,a4,a6] |
Generators |
[-169:689:1] [-48:1899:1] |
Generators of the group modulo torsion |
j |
-50484749/804357 |
j-invariant |
L |
9.0926505665892 |
L(r)(E,1)/r! |
Ω |
0.37344960209746 |
Real period |
R |
1.3526517392487 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999980306 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113925bc1 113925bi1 |
Quadratic twists by: 5 -7 |