Atkin-Lehner |
2- 5+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
38350s |
Isogeny class |
Conductor |
38350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
104832 |
Modular degree for the optimal curve |
Δ |
-840106106450 = -1 · 2 · 52 · 136 · 592 |
Discriminant |
Eigenvalues |
2- 3 5+ 2 1 13+ 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,510,43747] |
[a1,a2,a3,a4,a6] |
j |
587884923495/33604244258 |
j-invariant |
L |
10.849384578451 |
L(r)(E,1)/r! |
Ω |
0.67808653615734 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38350n1 |
Quadratic twists by: 5 |