Atkin-Lehner |
2- 3- 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
15450bi |
Isogeny class |
Conductor |
15450 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-3075563520000 = -1 · 216 · 36 · 54 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 2 -1 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11113,457817] |
[a1,a2,a3,a4,a6] |
Generators |
[122:-1021:1] |
Generators of the group modulo torsion |
j |
-242851102993825/4920901632 |
j-invariant |
L |
8.3298764366187 |
L(r)(E,1)/r! |
Ω |
0.79989253673788 |
Real period |
R |
0.036158834772415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123600bj1 46350bf1 15450e1 |
Quadratic twists by: -4 -3 5 |