Atkin-Lehner |
2- 3- 5- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
56610x |
Isogeny class |
Conductor |
56610 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-33341616608400 = -1 · 24 · 36 · 52 · 174 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 4 -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9257,-438919] |
[a1,a2,a3,a4,a6] |
j |
-120326972910409/45736099600 |
j-invariant |
L |
3.8216007815494 |
L(r)(E,1)/r! |
Ω |
0.2388500488244 |
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 |
6290d2 |
Quadratic twists by: -3 |