Atkin-Lehner |
2- 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
10064d |
Isogeny class |
Conductor |
10064 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-567942870728704 = -1 · 220 · 172 · 374 |
Discriminant |
Eigenvalues |
2- 2 2 -2 -2 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,14088,944240] |
[a1,a2,a3,a4,a6] |
Generators |
[80882:23002530:1] |
Generators of the group modulo torsion |
j |
75488529485447/138657927424 |
j-invariant |
L |
6.5429184183661 |
L(r)(E,1)/r! |
Ω |
0.35590901913387 |
Real period |
R |
9.1918412664685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1258b2 40256bc2 90576bf2 |
Quadratic twists by: -4 8 -3 |