Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
95220z |
Isogeny class |
Conductor |
95220 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
4080081780000000 = 28 · 36 · 57 · 234 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -3 -6 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-152352,-22681404] |
[a1,a2,a3,a4,a6] |
Generators |
[-228:450:1] |
Generators of the group modulo torsion |
j |
7488405504/78125 |
j-invariant |
L |
7.2700002425456 |
L(r)(E,1)/r! |
Ω |
0.24180272029952 |
Real period |
R |
0.71585317099539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999877762 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10580a1 95220p1 |
Quadratic twists by: -3 -23 |