Atkin-Lehner |
2+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
16016b |
Isogeny class |
Conductor |
16016 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
705024 |
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 |
2.304667149956 |
L(r)(E,1)/r! |
Ω |
0.2880833937445 |
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 |
8008a1 64064ba1 112112v1 |
Quadratic twists by: -4 8 -7 |