Atkin-Lehner |
2- 3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
75810cv |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-1689417586710000 = -1 · 24 · 33 · 54 · 7 · 197 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,14974,1848756] |
[a1,a2,a3,a4,a6] |
j |
7892485271/35910000 |
j-invariant |
L |
4.0652111636568 |
L(r)(E,1)/r! |
Ω |
0.33876759741169 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3990a1 |
Quadratic twists by: -19 |