Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
11424r |
Isogeny class |
Conductor |
11424 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
501559296 = 212 · 3 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-337,2015] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:60:1] |
Generators of the group modulo torsion |
j |
1036433728/122451 |
j-invariant |
L |
5.9588269682114 |
L(r)(E,1)/r! |
Ω |
1.5987475376715 |
Real period |
R |
1.8635922269786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11424c2 22848b1 34272n3 79968bw3 |
Quadratic twists by: -4 8 -3 -7 |