Atkin-Lehner |
3- 5- 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
48285d |
Isogeny class |
Conductor |
48285 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-664578896484375 = -1 · 37 · 510 · 292 · 37 |
Discriminant |
Eigenvalues |
1 3- 5- 4 -2 -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11664,-1328805] |
[a1,a2,a3,a4,a6] |
Generators |
[2958:52071:8] |
Generators of the group modulo torsion |
j |
-240746321795329/911630859375 |
j-invariant |
L |
8.0240132829441 |
L(r)(E,1)/r! |
Ω |
0.21013463016623 |
Real period |
R |
3.8185106741237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16095c2 |
Quadratic twists by: -3 |