Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
47610bz |
Isogeny class |
Conductor |
47610 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
971263467729000000 = 26 · 38 · 56 · 236 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1587893,-768300019] |
[a1,a2,a3,a4,a6] |
j |
4102915888729/9000000 |
j-invariant |
L |
6.4564344115254 |
L(r)(E,1)/r! |
Ω |
0.13450905022938 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15870u6 90c6 |
Quadratic twists by: -3 -23 |