Atkin-Lehner |
2+ 3+ 5+ 17- 79- |
Signs for the Atkin-Lehner involutions |
Class |
40290c |
Isogeny class |
Conductor |
40290 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-152976093750 = -1 · 2 · 36 · 57 · 17 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 1 3 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1673,31683] |
[a1,a2,a3,a4,a6] |
Generators |
[11:116:1] |
Generators of the group modulo torsion |
j |
-518342813451289/152976093750 |
j-invariant |
L |
3.9751629074797 |
L(r)(E,1)/r! |
Ω |
0.97302954220473 |
Real period |
R |
2.0426732874285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120870bi1 |
Quadratic twists by: -3 |