Atkin-Lehner |
2+ 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57222f |
Isogeny class |
Conductor |
57222 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-6006936672 = -1 · 25 · 310 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 11+ 1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,99,3685] |
[a1,a2,a3,a4,a6] |
j |
506447/28512 |
j-invariant |
L |
2.0465647891275 |
L(r)(E,1)/r! |
Ω |
1.0232823934851 |
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 |
19074w1 57222bd1 |
Quadratic twists by: -3 17 |