Atkin-Lehner |
2- 3- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
55104dc |
Isogeny class |
Conductor |
55104 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
525312 |
Modular degree for the optimal curve |
Δ |
-34850487720738816 = -1 · 219 · 39 · 72 · 413 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 0 1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-133217,20714271] |
[a1,a2,a3,a4,a6] |
Generators |
[343:-3936:1] [-395:3444:1] |
Generators of the group modulo torsion |
j |
-997392270041497/132944060214 |
j-invariant |
L |
9.8296683675036 |
L(r)(E,1)/r! |
Ω |
0.35589024498562 |
Real period |
R |
0.12787010760995 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55104r1 13776g1 |
Quadratic twists by: -4 8 |