Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520be |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
541209600 = 210 · 36 · 52 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -2 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-288,1512] |
[a1,a2,a3,a4,a6] |
Generators |
[1:35:1] |
Generators of the group modulo torsion |
j |
3538944/725 |
j-invariant |
L |
6.3016642519043 |
L(r)(E,1)/r! |
Ω |
1.5559001650998 |
Real period |
R |
2.0250863111563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000263 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520et1 5220n1 9280e1 |
Quadratic twists by: -4 8 -3 |