Atkin-Lehner |
2+ 3+ 7- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
50232d |
Isogeny class |
Conductor |
50232 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
93440 |
Modular degree for the optimal curve |
Δ |
11578275072 = 28 · 32 · 75 · 13 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- -5 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3305,74061] |
[a1,a2,a3,a4,a6] |
Generators |
[29:42:1] [-27:378:1] |
Generators of the group modulo torsion |
j |
15600177396736/45227637 |
j-invariant |
L |
6.4655579674765 |
L(r)(E,1)/r! |
Ω |
1.2778064362277 |
Real period |
R |
0.12649721006578 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100464m1 |
Quadratic twists by: -4 |