Atkin-Lehner |
2+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
49600q |
Isogeny class |
Conductor |
49600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-496000000000000 = -1 · 216 · 512 · 31 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 -2 2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32300,2478000] |
[a1,a2,a3,a4,a6] |
j |
-3639412836/484375 |
j-invariant |
L |
2.0290200373616 |
L(r)(E,1)/r! |
Ω |
0.50725500902549 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49600bj1 6200d1 9920l1 |
Quadratic twists by: -4 8 5 |