Atkin-Lehner |
2- 3- 31+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
90768k |
Isogeny class |
Conductor |
90768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
-16610544 = -1 · 24 · 32 · 31 · 612 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 0 -2 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,26,-181] |
[a1,a2,a3,a4,a6] |
Generators |
[260:183:64] |
Generators of the group modulo torsion |
j |
116872448/1038159 |
j-invariant |
L |
10.330527798579 |
L(r)(E,1)/r! |
Ω |
1.0875312512047 |
Real period |
R |
2.3747657328664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003339 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22692d1 |
Quadratic twists by: -4 |