Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
23520bw |
Isogeny class |
Conductor |
23520 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
18677955240000 = 26 · 34 · 54 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8150,-195000] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:300:1] |
Generators of the group modulo torsion |
j |
7952095936/2480625 |
j-invariant |
L |
6.8753204327194 |
L(r)(E,1)/r! |
Ω |
0.51474950658941 |
Real period |
R |
1.669579170234 |
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 |
23520bj1 47040ed2 70560v1 117600m1 |
Quadratic twists by: -4 8 -3 5 |