Atkin-Lehner |
2- 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74970ch |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-3598619376240 = -1 · 24 · 33 · 5 · 78 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2582,-103659] |
[a1,a2,a3,a4,a6] |
j |
-599077107/1132880 |
j-invariant |
L |
2.5225701835686 |
L(r)(E,1)/r! |
Ω |
0.31532127801469 |
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 |
74970e1 10710q1 |
Quadratic twists by: -3 -7 |