Atkin-Lehner |
2+ 3- 53- |
Signs for the Atkin-Lehner involutions |
Class |
10176i |
Isogeny class |
Conductor |
10176 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-6752305152 = -1 · 219 · 35 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 -5 0 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,127,-3873] |
[a1,a2,a3,a4,a6] |
Generators |
[43:288:1] |
Generators of the group modulo torsion |
j |
857375/25758 |
j-invariant |
L |
5.3609509057938 |
L(r)(E,1)/r! |
Ω |
0.64267553428599 |
Real period |
R |
0.41708067444561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10176o1 318a1 30528e1 |
Quadratic twists by: -4 8 -3 |