Atkin-Lehner |
2- 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
3120r |
Isogeny class |
Conductor |
3120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
99840000 = 212 · 3 · 54 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2080000,1155324352] |
[a1,a2,a3,a4,a6] |
j |
242970740812818720001/24375 |
j-invariant |
L |
1.4741163178477 |
L(r)(E,1)/r! |
Ω |
0.73705815892386 |
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 |
195a7 12480cj7 9360bm7 15600bz7 |
Quadratic twists by: -4 8 -3 5 |