Atkin-Lehner |
2- 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680dz |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
303385645780560 = 24 · 38 · 5 · 76 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-70608,-7172737] |
[a1,a2,a3,a4,a6] |
j |
3337628010151936/26010429165 |
j-invariant |
L |
1.7580911704833 |
L(r)(E,1)/r! |
Ω |
0.29301520430594 |
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 |
21420q3 28560cq3 |
Quadratic twists by: -4 -3 |