Atkin-Lehner |
3- 5- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
38775o |
Isogeny class |
Conductor |
38775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
33322265625 = 3 · 59 · 112 · 47 |
Discriminant |
Eigenvalues |
1 3- 5- 2 11+ 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-826,2423] |
[a1,a2,a3,a4,a6] |
j |
31855013/17061 |
j-invariant |
L |
4.0792573687066 |
L(r)(E,1)/r! |
Ω |
1.0198143421772 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116325bg1 38775g1 |
Quadratic twists by: -3 5 |