Atkin-Lehner |
2+ 3+ 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
74256f |
Isogeny class |
Conductor |
74256 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
1604597904 = 24 · 33 · 75 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ 6 13+ 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-952,-10829] |
[a1,a2,a3,a4,a6] |
j |
5969949899008/100287369 |
j-invariant |
L |
0.86028977671429 |
L(r)(E,1)/r! |
Ω |
0.86028979980014 |
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 |
37128bg1 |
Quadratic twists by: -4 |