Atkin-Lehner |
2- 3- 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
123600cx |
Isogeny class |
Conductor |
123600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-155524792320000 = -1 · 228 · 32 · 54 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -2 3 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16208,-1000812] |
[a1,a2,a3,a4,a6] |
Generators |
[354:6144:1] |
Generators of the group modulo torsion |
j |
-183949590625/60751872 |
j-invariant |
L |
9.5279842939889 |
L(r)(E,1)/r! |
Ω |
0.20807176315633 |
Real period |
R |
1.90799240235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000058867 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15450z1 123600u1 |
Quadratic twists by: -4 5 |