Atkin-Lehner |
2- 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
47610bj |
Isogeny class |
Conductor |
47610 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-325384593750 = -1 · 2 · 39 · 56 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 3 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-272,-27431] |
[a1,a2,a3,a4,a6] |
j |
-213003/31250 |
j-invariant |
L |
5.1438886108608 |
L(r)(E,1)/r! |
Ω |
0.42865738424924 |
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 |
47610b1 47610bf2 |
Quadratic twists by: -3 -23 |