Atkin-Lehner |
2+ 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
33200j |
Isogeny class |
Conductor |
33200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
-8105468750000 = -1 · 24 · 514 · 83 |
Discriminant |
Eigenvalues |
2+ -3 5+ 3 -1 2 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4450,178375] |
[a1,a2,a3,a4,a6] |
j |
-38981965824/32421875 |
j-invariant |
L |
1.3516789546816 |
L(r)(E,1)/r! |
Ω |
0.6758394773365 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16600f1 6640a1 |
Quadratic twists by: -4 5 |