Atkin-Lehner |
2- 3- 5- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
50310ce |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2915997936930 = 2 · 38 · 5 · 13 · 434 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-56507,5183561] |
[a1,a2,a3,a4,a6] |
Generators |
[10036:20569:64] |
Generators of the group modulo torsion |
j |
27371319310626409/3999997170 |
j-invariant |
L |
10.862270362616 |
L(r)(E,1)/r! |
Ω |
0.77564810829733 |
Real period |
R |
7.0020607582244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770e3 |
Quadratic twists by: -3 |