Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
29040a |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-687577546695600 = -1 · 24 · 36 · 52 · 119 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-59451,5740110] |
[a1,a2,a3,a4,a6] |
Generators |
[38:1880:1] |
Generators of the group modulo torsion |
j |
-615962624/18225 |
j-invariant |
L |
4.5856450863972 |
L(r)(E,1)/r! |
Ω |
0.50760810419982 |
Real period |
R |
4.5169147699345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14520o1 116160ij1 87120bo1 29040b1 |
Quadratic twists by: -4 8 -3 -11 |