Atkin-Lehner |
2+ 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
34080m |
Isogeny class |
Conductor |
34080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3320359359232320000 = 29 · 34 · 54 · 716 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -2 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-420696,-57973320] |
[a1,a2,a3,a4,a6] |
j |
16082735951500887752/6485076873500625 |
j-invariant |
L |
1.5531363721084 |
L(r)(E,1)/r! |
Ω |
0.1941420465148 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34080e2 68160cg2 102240bn2 |
Quadratic twists by: -4 8 -3 |