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 |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-9201600 = -1 · 26 · 34 · 52 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -2 -6 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6,-144] |
[a1,a2,a3,a4,a6] |
Generators |
[8:16:1] [15:54:1] |
Generators of the group modulo torsion |
j |
-438976/143775 |
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 |
34080q1 68160dn1 102240bh1 |
Quadratic twists by: -4 8 -3 |