Atkin-Lehner |
5+ 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
123725t |
Isogeny class |
Conductor |
123725 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1959936 |
Modular degree for the optimal curve |
Δ |
-2788493558046875 = -1 · 57 · 73 · 1014 |
Discriminant |
Eigenvalues |
-2 -3 5+ 7- -3 1 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-66325,-7048344] |
[a1,a2,a3,a4,a6] |
Generators |
[490:-8838:1] |
Generators of the group modulo torsion |
j |
-6020621733888/520302005 |
j-invariant |
L |
1.9850191092704 |
L(r)(E,1)/r! |
Ω |
0.14801723662984 |
Real period |
R |
0.41908531227694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999995694653 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24745e1 123725j1 |
Quadratic twists by: 5 -7 |