Atkin-Lehner |
2- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
4816d |
Isogeny class |
Conductor |
4816 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-32585697722368 = -1 · 220 · 75 · 432 |
Discriminant |
Eigenvalues |
2- 0 -4 7- 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1933,272690] |
[a1,a2,a3,a4,a6] |
Generators |
[31:602:1] |
Generators of the group modulo torsion |
j |
195011097399/7955492608 |
j-invariant |
L |
2.8694034683553 |
L(r)(E,1)/r! |
Ω |
0.49731626737441 |
Real period |
R |
0.57697760089458 |
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 |
602a1 19264s1 43344br1 120400bc1 |
Quadratic twists by: -4 8 -3 5 |