Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40950ct |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
186279912000 = 26 · 39 · 53 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1737,19021] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:179:1] |
Generators of the group modulo torsion |
j |
6362477477/2044224 |
j-invariant |
L |
4.9814812343132 |
L(r)(E,1)/r! |
Ω |
0.93305735942943 |
Real period |
R |
0.66735999453479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999948 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650cj1 40950ez1 |
Quadratic twists by: -3 5 |