Atkin-Lehner |
2+ 3+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
34080f |
Isogeny class |
Conductor |
34080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
116144640 = 29 · 32 · 5 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -2 -6 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-456,-3564] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:6:1] [53:344:1] |
Generators of the group modulo torsion |
j |
20525811272/226845 |
j-invariant |
L |
7.3291133164926 |
L(r)(E,1)/r! |
Ω |
1.0336393250929 |
Real period |
R |
3.5452953165424 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34080q2 68160dn2 102240bh2 |
Quadratic twists by: -4 8 -3 |