Atkin-Lehner |
2- 3- 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40698be |
Isogeny class |
Conductor |
40698 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
150638600448 = 28 · 37 · 72 · 172 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-151394,22710881] |
[a1,a2,a3,a4,a6] |
Generators |
[153:1687:1] |
Generators of the group modulo torsion |
j |
526404369443051737/206637312 |
j-invariant |
L |
9.9578697438414 |
L(r)(E,1)/r! |
Ω |
0.83429285672469 |
Real period |
R |
1.4919625739897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13566j1 |
Quadratic twists by: -3 |