Atkin-Lehner |
3+ 7- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
18879a |
Isogeny class |
Conductor |
18879 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
2285507239659 = 32 · 710 · 29 · 31 |
Discriminant |
Eigenvalues |
1 3+ 1 7- 6 -4 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3342,-16947] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:153:1] |
Generators of the group modulo torsion |
j |
4129962236646121/2285507239659 |
j-invariant |
L |
5.8129324279835 |
L(r)(E,1)/r! |
Ω |
0.67250281613933 |
Real period |
R |
0.43218647479828 |
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 |
56637m1 |
Quadratic twists by: -3 |