Atkin-Lehner |
2+ 3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
113850da |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
16588800 |
Modular degree for the optimal curve |
Δ |
-6.91287581952E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11- -4 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-167608242,-835159511084] |
[a1,a2,a3,a4,a6] |
Generators |
[28244:4104278:1] |
Generators of the group modulo torsion |
j |
-1828614938291990370625/242756681728 |
j-invariant |
L |
3.2073312980106 |
L(r)(E,1)/r! |
Ω |
0.020979527978344 |
Real period |
R |
2.5479849676273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999470162 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12650y1 113850ew1 |
Quadratic twists by: -3 5 |