Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40950bj |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-24684327281250 = -1 · 2 · 311 · 56 · 73 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 1 13+ -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-24417,1493991] |
[a1,a2,a3,a4,a6] |
Generators |
[75:-321:1] |
Generators of the group modulo torsion |
j |
-141339344329/2167074 |
j-invariant |
L |
4.8059064850208 |
L(r)(E,1)/r! |
Ω |
0.67390603263507 |
Real period |
R |
0.59428494135718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13650cr1 1638p1 |
Quadratic twists by: -3 5 |