Atkin-Lehner |
2- 3+ 29- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
20532d |
Isogeny class |
Conductor |
20532 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
27780480 |
Modular degree for the optimal curve |
Δ |
2.4772757527738E+25 |
Discriminant |
Eigenvalues |
2- 3+ 0 -3 4 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30279367293,2028011746130073] |
[a1,a2,a3,a4,a6] |
Generators |
[36190229220438587664:76891225153829481287:358834295799981] |
Generators of the group modulo torsion |
j |
11992897861834752410479177034752000/96768584092724871994893 |
j-invariant |
L |
3.9910047250665 |
L(r)(E,1)/r! |
Ω |
0.046527007183553 |
Real period |
R |
28.592746210974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82128bf1 61596d1 |
Quadratic twists by: -4 -3 |