Atkin-Lehner |
2+ 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
11424a |
Isogeny class |
Conductor |
11424 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
660695616 = 26 · 36 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-322,1960] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:40:1] |
Generators of the group modulo torsion |
j |
57870788032/10323369 |
j-invariant |
L |
4.6622746646294 |
L(r)(E,1)/r! |
Ω |
1.5394020496031 |
Real period |
R |
3.0286270346537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11424v1 22848w2 34272bh1 79968be1 |
Quadratic twists by: -4 8 -3 -7 |