Atkin-Lehner |
2- 3- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75810dk |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1991808 |
Modular degree for the optimal curve |
Δ |
-499202623861764480 = -1 · 27 · 38 · 5 · 7 · 198 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -6 6 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-242780,-57252720] |
[a1,a2,a3,a4,a6] |
j |
-93182366881/29393280 |
j-invariant |
L |
5.9266611207703 |
L(r)(E,1)/r! |
Ω |
0.10583323437413 |
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 |
75810z1 |
Quadratic twists by: -19 |