Atkin-Lehner |
7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
11011f |
Isogeny class |
Conductor |
11011 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
855360 |
Modular degree for the optimal curve |
Δ |
9.5246846143621E+19 |
Discriminant |
Eigenvalues |
-1 -1 -2 7+ 11- 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-73849509,-244299981650] |
[a1,a2,a3,a4,a6] |
Generators |
[-4937677196318:2486189483287:994011992] |
Generators of the group modulo torsion |
j |
1717274406596164537/3672178237 |
j-invariant |
L |
1.539919058677 |
L(r)(E,1)/r! |
Ω |
0.051500649635917 |
Real period |
R |
14.950481882884 |
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 |
99099bg1 77077o1 11011k1 |
Quadratic twists by: -3 -7 -11 |