Atkin-Lehner |
2+ 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
34080q |
Isogeny class |
Conductor |
34080 |
Conductor |
∏ cp |
16 |
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 |
[-3:12:1] [0:12:1] |
Generators of the group modulo torsion |
j |
-438976/143775 |
j-invariant |
L |
9.1359347225721 |
L(r)(E,1)/r! |
Ω |
1.8761646929495 |
Real period |
R |
1.2173684374437 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34080f1 68160cn1 102240bt1 |
Quadratic twists by: -4 8 -3 |