Atkin-Lehner |
2- 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
34080bi |
Isogeny class |
Conductor |
34080 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
3674889000000 = 26 · 36 · 56 · 712 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3930,-23400] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:180:1] |
Generators of the group modulo torsion |
j |
104913624746944/57420140625 |
j-invariant |
L |
7.9778702913518 |
L(r)(E,1)/r! |
Ω |
0.6441265540142 |
Real period |
R |
1.3761737143861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34080i1 68160f2 102240c1 |
Quadratic twists by: -4 8 -3 |