Atkin-Lehner |
3- 5+ 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
60225q |
Isogeny class |
Conductor |
60225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
270720 |
Modular degree for the optimal curve |
Δ |
-635185546875 = -1 · 34 · 510 · 11 · 73 |
Discriminant |
Eigenvalues |
0 3- 5+ 4 11+ 5 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-163333,-25461881] |
[a1,a2,a3,a4,a6] |
j |
-49345567129600/65043 |
j-invariant |
L |
4.2746771402476 |
L(r)(E,1)/r! |
Ω |
0.11874103178154 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60225k1 |
Quadratic twists by: 5 |