Atkin-Lehner |
2+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
40256p |
Isogeny class |
Conductor |
40256 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-6482182144 = -1 · 214 · 172 · 372 |
Discriminant |
Eigenvalues |
2+ 2 2 -2 -2 -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-817,10065] |
[a1,a2,a3,a4,a6] |
Generators |
[120:1275:1] |
Generators of the group modulo torsion |
j |
-3685542352/395641 |
j-invariant |
L |
8.8544485132435 |
L(r)(E,1)/r! |
Ω |
1.3015447218396 |
Real period |
R |
3.4015152782174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40256bb2 2516b2 |
Quadratic twists by: -4 8 |