Atkin-Lehner |
2- 5- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
89300n |
Isogeny class |
Conductor |
89300 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1025280 |
Modular degree for the optimal curve |
Δ |
3247635972781250000 = 24 · 59 · 196 · 472 |
Discriminant |
Eigenvalues |
2- 2 5- 0 0 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-377833,-21628338] |
[a1,a2,a3,a4,a6] |
Generators |
[-112110:4394187:1000] |
Generators of the group modulo torsion |
j |
190886185582592/103924351129 |
j-invariant |
L |
10.595356427314 |
L(r)(E,1)/r! |
Ω |
0.20547657157186 |
Real period |
R |
8.5941317974235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002913 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89300j1 |
Quadratic twists by: 5 |