Atkin-Lehner |
2- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
5194p |
Isogeny class |
Conductor |
5194 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
41552 = 24 · 72 · 53 |
Discriminant |
Eigenvalues |
2- -2 -4 7- -3 1 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-120,496] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-2:1] |
Generators of the group modulo torsion |
j |
3902092369/848 |
j-invariant |
L |
2.8779733692247 |
L(r)(E,1)/r! |
Ω |
3.5219704444907 |
Real period |
R |
0.20428716073744 |
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 |
41552bk1 46746u1 129850l1 5194l1 |
Quadratic twists by: -4 -3 5 -7 |