Atkin-Lehner |
2+ 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
3600l |
Isogeny class |
Conductor |
3600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
8201250000 = 24 · 38 · 57 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3450,77875] |
[a1,a2,a3,a4,a6] |
j |
24918016/45 |
j-invariant |
L |
1.311128052442 |
L(r)(E,1)/r! |
Ω |
1.311128052442 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1800r1 14400dq1 1200e1 720c1 |
Quadratic twists by: -4 8 -3 5 |