Atkin-Lehner |
5+ 29- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
52925b |
Isogeny class |
Conductor |
52925 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23616 |
Modular degree for the optimal curve |
Δ |
-1290787825 = -1 · 52 · 294 · 73 |
Discriminant |
Eigenvalues |
-1 -2 5+ -4 -3 -4 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,272,-63] |
[a1,a2,a3,a4,a6] |
Generators |
[1:14:1] [11:60:1] |
Generators of the group modulo torsion |
j |
89000125655/51631513 |
j-invariant |
L |
3.2204374014366 |
L(r)(E,1)/r! |
Ω |
0.90698317293887 |
Real period |
R |
0.88767837638157 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999922 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52925e1 |
Quadratic twists by: 5 |