Atkin-Lehner |
3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
63525cj |
Isogeny class |
Conductor |
63525 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
1872070633125 = 38 · 54 · 73 · 113 |
Discriminant |
Eigenvalues |
-2 3- 5- 7- 11+ -7 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-5958,162344] |
[a1,a2,a3,a4,a6] |
Generators |
[117:-1040:1] [18:-248:1] |
Generators of the group modulo torsion |
j |
28121600000/2250423 |
j-invariant |
L |
6.4136780336895 |
L(r)(E,1)/r! |
Ω |
0.81450541435236 |
Real period |
R |
0.054682792777979 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999862 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63525b1 63525cb1 |
Quadratic twists by: 5 -11 |