Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40950em |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
8358714000000000 = 210 · 38 · 59 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 13- -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-51755,-1077253] |
[a1,a2,a3,a4,a6] |
Generators |
[-161:1830:1] |
Generators of the group modulo torsion |
j |
1345938541921/733824000 |
j-invariant |
L |
9.8412095616286 |
L(r)(E,1)/r! |
Ω |
0.33785554384759 |
Real period |
R |
0.7282113421577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650bh1 8190g1 |
Quadratic twists by: -3 5 |