Atkin-Lehner |
2- 3- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
64350dy |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
100077120000000 = 212 · 37 · 57 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14855,507647] |
[a1,a2,a3,a4,a6] |
j |
31824875809/8785920 |
j-invariant |
L |
6.6935367428998 |
L(r)(E,1)/r! |
Ω |
0.55779472898906 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
21450bf1 12870t1 |
Quadratic twists by: -3 5 |