Atkin-Lehner |
2+ 3+ 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75810t |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1276800 |
Modular degree for the optimal curve |
Δ |
-423527603334937500 = -1 · 22 · 3 · 56 · 7 · 199 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-568582,-168201824] |
[a1,a2,a3,a4,a6] |
j |
-62997282739/1312500 |
j-invariant |
L |
0.520938627792 |
L(r)(E,1)/r! |
Ω |
0.086823104833348 |
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 |
75810dj1 |
Quadratic twists by: -19 |