Atkin-Lehner |
2+ 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
34080o |
Isogeny class |
Conductor |
34080 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-2070360000 = -1 · 26 · 36 · 54 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-426,-4176] |
[a1,a2,a3,a4,a6] |
j |
-133903400896/32349375 |
j-invariant |
L |
3.1122628233669 |
L(r)(E,1)/r! |
Ω |
0.51871047056081 |
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 |
34080z1 68160h1 102240bq1 |
Quadratic twists by: -4 8 -3 |