Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
104400dr |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
752640 |
Modular degree for the optimal curve |
Δ |
-378760126464000000 = -1 · 219 · 313 · 56 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -2 0 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3675,29610250] |
[a1,a2,a3,a4,a6] |
Generators |
[1181:40896:1] |
Generators of the group modulo torsion |
j |
-117649/8118144 |
j-invariant |
L |
6.7963387827883 |
L(r)(E,1)/r! |
Ω |
0.24009965861778 |
Real period |
R |
3.5382905136277 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040445 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13050bd1 34800dg1 4176y1 |
Quadratic twists by: -4 -3 5 |