Atkin-Lehner |
2+ 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
7200o |
Isogeny class |
Conductor |
7200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
6561000000 = 26 · 38 · 56 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-525,-2500] |
[a1,a2,a3,a4,a6] |
j |
21952/9 |
j-invariant |
L |
2.0678165454781 |
L(r)(E,1)/r! |
Ω |
1.0339082727391 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7200bq1 14400bq2 2400u1 288b1 |
Quadratic twists by: -4 8 -3 5 |