Atkin-Lehner |
2+ 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
53550bg |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-125355195000000000 = -1 · 29 · 36 · 510 · 7 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -3 -2 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2070117,-1146020459] |
[a1,a2,a3,a4,a6] |
Generators |
[564605:423961376:1] |
Generators of the group modulo torsion |
j |
-137810063865625/17608192 |
j-invariant |
L |
3.8732763909715 |
L(r)(E,1)/r! |
Ω |
0.062931415026473 |
Real period |
R |
10.257930238674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999894 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5950m1 53550en1 |
Quadratic twists by: -3 5 |