Atkin-Lehner |
2- 3- 5- |
Signs for the Atkin-Lehner involutions |
Class |
7200bw |
Isogeny class |
Conductor |
7200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-283435200000000 = -1 · 212 · 311 · 58 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 0 5 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-165000,-25810000] |
[a1,a2,a3,a4,a6] |
j |
-425920000/243 |
j-invariant |
L |
2.8424638713224 |
L(r)(E,1)/r! |
Ω |
0.11843599463843 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7200x1 14400cj1 2400f1 7200m1 |
Quadratic twists by: -4 8 -3 5 |