Atkin-Lehner |
3- 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
90675ba |
Isogeny class |
Conductor |
90675 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3225600 |
Modular degree for the optimal curve |
Δ |
-2.0007264234699E+21 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4192542,-3942167009] |
[a1,a2,a3,a4,a6] |
Generators |
[31595649259133138141622617356478012152360:-1372677912872192517083569514228342647178177:9259417526116701441156704427122657792] |
Generators of the group modulo torsion |
j |
-715498095288059929/175646764200375 |
j-invariant |
L |
6.1033476626877 |
L(r)(E,1)/r! |
Ω |
0.052079243563688 |
Real period |
R |
58.596738766266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003597 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30225h1 18135u1 |
Quadratic twists by: -3 5 |