Atkin-Lehner |
2+ 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
53550c |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
336000 |
Modular degree for the optimal curve |
Δ |
-2811903538500000 = -1 · 25 · 39 · 56 · 75 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -3 5 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,35058,345716] |
[a1,a2,a3,a4,a6] |
j |
15494117157/9143008 |
j-invariant |
L |
0.55121730759561 |
L(r)(E,1)/r! |
Ω |
0.27560865335661 |
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 |
53550cn1 2142m1 |
Quadratic twists by: -3 5 |