Atkin-Lehner |
3- 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
58275i |
Isogeny class |
Conductor |
58275 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-44164117221328125 = -1 · 313 · 57 · 7 · 373 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 3 0 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-222192,41616841] |
[a1,a2,a3,a4,a6] |
Generators |
[-136:8393:1] |
Generators of the group modulo torsion |
j |
-106503164422201/3877233885 |
j-invariant |
L |
6.8954102877072 |
L(r)(E,1)/r! |
Ω |
0.35786470882555 |
Real period |
R |
0.8028418419121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999639 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19425d1 11655i1 |
Quadratic twists by: -3 5 |