Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520bq |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
15960920555520 = 224 · 38 · 5 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 0 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6348,30832] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:432:1] |
Generators of the group modulo torsion |
j |
148035889/83520 |
j-invariant |
L |
5.3100284260632 |
L(r)(E,1)/r! |
Ω |
0.60092913369481 |
Real period |
R |
2.2090909418978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004129 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520fe1 2610g1 27840ca1 |
Quadratic twists by: -4 8 -3 |