Atkin-Lehner |
2- 3- 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48450bv |
Isogeny class |
Conductor |
48450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
8175937500 = 22 · 34 · 57 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-861338,307614792] |
[a1,a2,a3,a4,a6] |
j |
4522978677576955609/523260 |
j-invariant |
L |
5.9436838332845 |
L(r)(E,1)/r! |
Ω |
0.74296047920567 |
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 |
9690b3 |
Quadratic twists by: 5 |