Atkin-Lehner |
2+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
34102d |
Isogeny class |
Conductor |
34102 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
44513280 |
Modular degree for the optimal curve |
Δ |
-1.6962116708941E+22 |
Discriminant |
Eigenvalues |
2+ 1 -2 -4 2 -7 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-16846866157,-841642245371480] |
[a1,a2,a3,a4,a6] |
Generators |
[53438030286935064394928217143672004959168135594112645341391910672:-12821431281500904354074729645638136992247930924293197709424263122008:299720244459442111698864583416408306344781570525970958251643] |
Generators of the group modulo torsion |
j |
-21907234671397038959171876713/702726803554304 |
j-invariant |
L |
2.5805578820395 |
L(r)(E,1)/r! |
Ω |
0.0066258221994208 |
Real period |
R |
97.3674588742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2006e1 |
Quadratic twists by: 17 |