Atkin-Lehner |
2+ 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
53550bk |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-685536222656250 = -1 · 2 · 36 · 59 · 72 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -6 7 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9567,1312591] |
[a1,a2,a3,a4,a6] |
Generators |
[129:1423:1] |
Generators of the group modulo torsion |
j |
-8502154921/60184250 |
j-invariant |
L |
4.4535218018691 |
L(r)(E,1)/r! |
Ω |
0.43812142563606 |
Real period |
R |
0.84708666390249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998966 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5950l1 10710bf1 |
Quadratic twists by: -3 5 |