Atkin-Lehner |
2+ 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
19530r |
Isogeny class |
Conductor |
19530 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
180000 |
Modular degree for the optimal curve |
Δ |
38893710643200000 = 215 · 36 · 55 · 75 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 3 -1 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-89955,4242325] |
[a1,a2,a3,a4,a6] |
j |
110426885440588081/53352140800000 |
j-invariant |
L |
1.6195249884383 |
L(r)(E,1)/r! |
Ω |
0.32390499768765 |
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 |
2170q1 97650dj1 |
Quadratic twists by: -3 5 |