Atkin-Lehner |
3- 5+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
38775n |
Isogeny class |
Conductor |
38775 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
984960 |
Modular degree for the optimal curve |
Δ |
-1753172998435546875 = -1 · 315 · 59 · 113 · 47 |
Discriminant |
Eigenvalues |
-2 3- 5+ -1 11- -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-241758,78351644] |
[a1,a2,a3,a4,a6] |
Generators |
[198:-6188:1] |
Generators of the group modulo torsion |
j |
-100011063412043776/112203071899875 |
j-invariant |
L |
2.6263243924093 |
L(r)(E,1)/r! |
Ω |
0.24040351407689 |
Real period |
R |
0.060692503289567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116325x1 7755e1 |
Quadratic twists by: -3 5 |