Atkin-Lehner |
2+ 3- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
52038r |
Isogeny class |
Conductor |
52038 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4866048 |
Modular degree for the optimal curve |
Δ |
4.1775242262688E+20 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 4 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10368360,-12810025152] |
[a1,a2,a3,a4,a6] |
Generators |
[4315697842314:45103049673753:1144445336] |
Generators of the group modulo torsion |
j |
1437269372537979889/4870832652288 |
j-invariant |
L |
6.5626359562844 |
L(r)(E,1)/r! |
Ω |
0.084151242721374 |
Real period |
R |
19.496550924608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999907 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17346bh1 1062f1 |
Quadratic twists by: -3 -7 |