Atkin-Lehner |
2- 3- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42900bo |
Isogeny class |
Conductor |
42900 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
875520 |
Modular degree for the optimal curve |
Δ |
465853781250000 = 24 · 36 · 59 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5133833,4475532588] |
[a1,a2,a3,a4,a6] |
Generators |
[808:29250:1] |
Generators of the group modulo torsion |
j |
478849443293216768/14907321 |
j-invariant |
L |
7.067424843667 |
L(r)(E,1)/r! |
Ω |
0.38618497586342 |
Real period |
R |
1.5250517423382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128700bk1 42900t1 |
Quadratic twists by: -3 5 |