Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
5390h |
Isogeny class |
Conductor |
5390 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
211680 |
Modular degree for the optimal curve |
Δ |
-1.0248645316479E+21 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 11- -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-728753,-1559056043] |
[a1,a2,a3,a4,a6] |
Generators |
[2754:130271:1] |
Generators of the group modulo torsion |
j |
-151525354918441/3628156928000 |
j-invariant |
L |
2.0688540851896 |
L(r)(E,1)/r! |
Ω |
0.067457942478938 |
Real period |
R |
2.5557332578438 |
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 |
43120bf1 48510dv1 26950cq1 5390m1 |
Quadratic twists by: -4 -3 5 -7 |