Atkin-Lehner |
3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11913g |
Isogeny class |
Conductor |
11913 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
41040 |
Modular degree for the optimal curve |
Δ |
203446101668139 = 32 · 113 · 198 |
Discriminant |
Eigenvalues |
1 3- 1 -3 11- 6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-19863,-832301] |
[a1,a2,a3,a4,a6] |
Generators |
[-97:477:1] |
Generators of the group modulo torsion |
j |
51026761/11979 |
j-invariant |
L |
6.6364645901929 |
L(r)(E,1)/r! |
Ω |
0.4089752511766 |
Real period |
R |
2.7045094501848 |
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 |
35739k1 11913e1 |
Quadratic twists by: -3 -19 |