Atkin-Lehner |
2+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
90160b |
Isogeny class |
Conductor |
90160 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
25728 |
Modular degree for the optimal curve |
Δ |
-282741760 = -1 · 210 · 5 · 74 · 23 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ -2 -4 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16,804] |
[a1,a2,a3,a4,a6] |
Generators |
[2:28:1] [-8:22:1] |
Generators of the group modulo torsion |
j |
-196/115 |
j-invariant |
L |
6.7384429629694 |
L(r)(E,1)/r! |
Ω |
1.4046115191563 |
Real period |
R |
0.39978094008078 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000074 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45080a1 90160bj1 |
Quadratic twists by: -4 -7 |