Atkin-Lehner |
2+ 3- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
53664d |
Isogeny class |
Conductor |
53664 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
359424 |
Modular degree for the optimal curve |
Δ |
-142587579268053504 = -1 · 29 · 313 · 133 · 433 |
Discriminant |
Eigenvalues |
2+ 3- -1 2 4 13+ 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,9424,18167388] |
[a1,a2,a3,a4,a6] |
j |
180764647572088/278491365757917 |
j-invariant |
L |
3.3256318750171 |
L(r)(E,1)/r! |
Ω |
0.25581783655851 |
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 |
53664i1 107328k1 |
Quadratic twists by: -4 8 |