Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550dt |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
35621065679062500 = 22 · 32 · 57 · 78 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2517401,-1537546552] |
[a1,a2,a3,a4,a6] |
Generators |
[3497:178326:1] |
Generators of the group modulo torsion |
j |
959781554388721/19377540 |
j-invariant |
L |
5.9738483256853 |
L(r)(E,1)/r! |
Ω |
0.11985661312171 |
Real period |
R |
3.1151015460593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999869954 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110bt1 13650i1 |
Quadratic twists by: 5 -7 |