Atkin-Lehner |
2+ 3+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
59094h |
Isogeny class |
Conductor |
59094 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-851468209934832 = -1 · 24 · 39 · 79 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,579,1403765] |
[a1,a2,a3,a4,a6] |
Generators |
[1490:56775:1] |
Generators of the group modulo torsion |
j |
27/1072 |
j-invariant |
L |
5.2698326143502 |
L(r)(E,1)/r! |
Ω |
0.39564775623207 |
Real period |
R |
6.6597529387611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59094bn1 59094i1 |
Quadratic twists by: -3 -7 |