Atkin-Lehner |
2- 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
34080bj |
Isogeny class |
Conductor |
34080 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
-6707966400 = -1 · 26 · 310 · 52 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -2 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,430,-1800] |
[a1,a2,a3,a4,a6] |
Generators |
[10:60:1] |
Generators of the group modulo torsion |
j |
137068836416/104811975 |
j-invariant |
L |
8.3648031076947 |
L(r)(E,1)/r! |
Ω |
0.74372561650804 |
Real period |
R |
1.1247162827293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34080j1 68160g1 102240f1 |
Quadratic twists by: -4 8 -3 |