Atkin-Lehner |
2+ 3+ 5- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
93450u |
Isogeny class |
Conductor |
93450 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
798769482000 = 24 · 3 · 53 · 75 · 892 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5845,164125] |
[a1,a2,a3,a4,a6] |
Generators |
[54:-125:1] [-30:575:1] |
Generators of the group modulo torsion |
j |
176719037353613/6390155856 |
j-invariant |
L |
7.6945148961868 |
L(r)(E,1)/r! |
Ω |
0.8883399617406 |
Real period |
R |
0.86616782179564 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992696 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93450cy1 |
Quadratic twists by: 5 |