Atkin-Lehner |
2- 3+ 5+ 29+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
40890v |
Isogeny class |
Conductor |
40890 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
283392 |
Modular degree for the optimal curve |
Δ |
-572329152000 = -1 · 29 · 38 · 53 · 29 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 2 0 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-196296,-33556407] |
[a1,a2,a3,a4,a6] |
Generators |
[919:23273:1] |
Generators of the group modulo torsion |
j |
-836485082033364275329/572329152000 |
j-invariant |
L |
8.6876127797887 |
L(r)(E,1)/r! |
Ω |
0.11340747137998 |
Real period |
R |
4.2558497121918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999963 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122670z1 |
Quadratic twists by: -3 |