Atkin-Lehner |
2+ 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
89298o |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
5529600 |
Modular degree for the optimal curve |
Δ |
1948539761131594752 = 210 · 39 · 119 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-33416532,74359900368] |
[a1,a2,a3,a4,a6] |
Generators |
[20793:2882532:1] |
Generators of the group modulo torsion |
j |
3195392484115617625/1508779008 |
j-invariant |
L |
6.4201144382022 |
L(r)(E,1)/r! |
Ω |
0.21460296772626 |
Real period |
R |
3.7395303160189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001315 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29766bq1 8118k1 |
Quadratic twists by: -3 -11 |