Atkin-Lehner |
2- 3+ 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74256bu |
Isogeny class |
Conductor |
74256 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
504192 |
Modular degree for the optimal curve |
Δ |
1027798622397456 = 24 · 3 · 713 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 2 13- 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-163766,25516419] |
[a1,a2,a3,a4,a6] |
j |
30358311007079398144/64237413899841 |
j-invariant |
L |
0.49352461401662 |
L(r)(E,1)/r! |
Ω |
0.49352462867652 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18564r1 |
Quadratic twists by: -4 |