Atkin-Lehner |
2- 3- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75810dj |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-9002437500 = -1 · 22 · 3 · 56 · 7 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1575,24357] |
[a1,a2,a3,a4,a6] |
j |
-62997282739/1312500 |
j-invariant |
L |
7.8019729729146 |
L(r)(E,1)/r! |
Ω |
1.3003288328439 |
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 |
75810t1 |
Quadratic twists by: -19 |