Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
52200bq |
Isogeny class |
Conductor |
52200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
244800 |
Modular degree for the optimal curve |
Δ |
-12261780000000000 = -1 · 211 · 36 · 510 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -5 -4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46875,-6606250] |
[a1,a2,a3,a4,a6] |
Generators |
[12116769886:215979070988:26730899] |
Generators of the group modulo torsion |
j |
-781250/841 |
j-invariant |
L |
5.0121039791053 |
L(r)(E,1)/r! |
Ω |
0.15561358725587 |
Real period |
R |
16.104326323468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000075 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104400n1 5800d1 52200z1 |
Quadratic twists by: -4 -3 5 |