Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
104400dl |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
3990230138880000000 = 228 · 38 · 57 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-405075,-24704750] |
[a1,a2,a3,a4,a6] |
Generators |
[4415:290250:1] |
Generators of the group modulo torsion |
j |
157551496201/85524480 |
j-invariant |
L |
7.2814260595979 |
L(r)(E,1)/r! |
Ω |
0.20180948652766 |
Real period |
R |
4.510086582207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000109 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13050f1 34800de1 20880bq1 |
Quadratic twists by: -4 -3 5 |