Atkin-Lehner |
2+ 3- 5+ 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
90630o |
Isogeny class |
Conductor |
90630 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
555663360 |
Modular degree for the optimal curve |
Δ |
-2.435983813745E+33 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 0 1 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-89410178655,10560769473333325] |
[a1,a2,a3,a4,a6] |
Generators |
[-142326431528758190:115352229162235285345:798662152952] |
Generators of the group modulo torsion |
j |
-108431901008424870304810487314391281/3341541582640643189760000000000 |
j-invariant |
L |
4.1786463823989 |
L(r)(E,1)/r! |
Ω |
0.01443887023656 |
Real period |
R |
24.116882149467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30210bc1 |
Quadratic twists by: -3 |