Atkin-Lehner |
2- 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
116380c |
Isogeny class |
Conductor |
116380 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
49040640 |
Modular degree for the optimal curve |
Δ |
-5.7644990353793E+25 |
Discriminant |
Eigenvalues |
2- 2 5+ -5 11+ 0 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-383739421,2916457760745] |
[a1,a2,a3,a4,a6] |
Generators |
[4095:1188990:1] |
Generators of the group modulo torsion |
j |
-164902021520455131136/1521088873046875 |
j-invariant |
L |
5.6261660986302 |
L(r)(E,1)/r! |
Ω |
0.062943145122828 |
Real period |
R |
7.4487408189977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011376 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5060e1 |
Quadratic twists by: -23 |