Atkin-Lehner |
2- 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74970dx |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4918862859898050 = 2 · 310 · 52 · 78 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 -4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9524507,-11311505719] |
[a1,a2,a3,a4,a6] |
j |
1114128841413009241/57352050 |
j-invariant |
L |
2.7500393747203 |
L(r)(E,1)/r! |
Ω |
0.0859387303655 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990s2 10710bc2 |
Quadratic twists by: -3 -7 |