Atkin-Lehner |
2+ 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400de |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-945490218750000 = -1 · 24 · 36 · 59 · 73 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ 6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1917,-1478412] |
[a1,a2,a3,a4,a6] |
j |
24918016/30255687 |
j-invariant |
L |
4.1573326433025 |
L(r)(E,1)/r! |
Ω |
0.23096292648248 |
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 |
46200cg1 92400bh1 |
Quadratic twists by: -4 5 |