Atkin-Lehner |
2+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8008a |
Isogeny class |
Conductor |
8008 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
352512 |
Modular degree for the optimal curve |
Δ |
-843936059110144 = -1 · 28 · 7 · 118 · 133 |
Discriminant |
Eigenvalues |
2+ -2 -1 7- 11+ 13+ -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36613281,-85284134429] |
[a1,a2,a3,a4,a6] |
j |
-21203116761178214318777344/3296625230899 |
j-invariant |
L |
0.24549908783997 |
L(r)(E,1)/r! |
Ω |
0.030687385979996 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16016b1 64064t1 72072bm1 56056e1 |
Quadratic twists by: -4 8 -3 -7 |