Atkin-Lehner |
2- 3- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
19530bs |
Isogeny class |
Conductor |
19530 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
16800 |
Modular degree for the optimal curve |
Δ |
3798213930 = 2 · 36 · 5 · 75 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -1 1 8 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-788,-7779] |
[a1,a2,a3,a4,a6] |
j |
74140932601/5210170 |
j-invariant |
L |
4.525844423171 |
L(r)(E,1)/r! |
Ω |
0.90516888463419 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2170e1 97650q1 |
Quadratic twists by: -3 5 |