Atkin-Lehner |
3- 5- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
38775p |
Isogeny class |
Conductor |
38775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-1566146484375 = -1 · 3 · 59 · 112 · 472 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 11+ -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1013,61392] |
[a1,a2,a3,a4,a6] |
j |
-58863869/801867 |
j-invariant |
L |
1.4335816239657 |
L(r)(E,1)/r! |
Ω |
0.71679081203338 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116325bf1 38775f1 |
Quadratic twists by: -3 5 |