Atkin-Lehner |
3- 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
56355w |
Isogeny class |
Conductor |
56355 |
Conductor |
∏ cp |
252 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
6453337819163625 = 314 · 53 · 133 · 173 |
Discriminant |
Eigenvalues |
-1 3- 5- -2 -4 13- 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-84870,8689275] |
[a1,a2,a3,a4,a6] |
Generators |
[75:-1695:1] [-315:2205:1] |
Generators of the group modulo torsion |
j |
13760679326649137/1313522861625 |
j-invariant |
L |
7.4995508704804 |
L(r)(E,1)/r! |
Ω |
0.41122352000847 |
Real period |
R |
0.289478797334 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56355c1 |
Quadratic twists by: 17 |