Atkin-Lehner |
2- 3+ 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
51120r |
Isogeny class |
Conductor |
51120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
1831722024960 = 218 · 39 · 5 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -4 2 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4347,-89046] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:80:1] |
Generators of the group modulo torsion |
j |
112678587/22720 |
j-invariant |
L |
4.7254068191836 |
L(r)(E,1)/r! |
Ω |
0.59627264871775 |
Real period |
R |
3.9624547841731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6390o1 51120q1 |
Quadratic twists by: -4 -3 |