Atkin-Lehner |
2+ 3+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
45120o |
Isogeny class |
Conductor |
45120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-14969733120 = -1 · 218 · 35 · 5 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 2 7 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2305,43777] |
[a1,a2,a3,a4,a6] |
Generators |
[17:96:1] |
Generators of the group modulo torsion |
j |
-5168743489/57105 |
j-invariant |
L |
6.5238127574353 |
L(r)(E,1)/r! |
Ω |
1.2516131613966 |
Real period |
R |
1.3030808876591 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45120ct1 705e1 |
Quadratic twists by: -4 8 |