Atkin-Lehner |
2- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
4928bb |
Isogeny class |
Conductor |
4928 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-909459324928 = -1 · 230 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-236,45904] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:88:1] |
Generators of the group modulo torsion |
j |
-5545233/3469312 |
j-invariant |
L |
3.2359716692061 |
L(r)(E,1)/r! |
Ω |
0.71630801875515 |
Real period |
R |
2.2587850369383 |
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 |
4928h1 1232j1 44352ew1 123200dx1 |
Quadratic twists by: -4 8 -3 5 |