Atkin-Lehner |
2+ 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
90160a |
Isogeny class |
Conductor |
90160 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
228480 |
Modular degree for the optimal curve |
Δ |
-106072338400000 = -1 · 28 · 55 · 78 · 23 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 0 -2 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8804,383004] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:468:1] |
Generators of the group modulo torsion |
j |
51131696/71875 |
j-invariant |
L |
3.2783410501789 |
L(r)(E,1)/r! |
Ω |
0.40262636887207 |
Real period |
R |
4.0711951612222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002178 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45080q1 90160be1 |
Quadratic twists by: -4 -7 |