Atkin-Lehner |
3- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48165x |
Isogeny class |
Conductor |
48165 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-697449766455 = -1 · 32 · 5 · 138 · 19 |
Discriminant |
Eigenvalues |
1 3- 5- 0 0 13+ 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1863,-50867] |
[a1,a2,a3,a4,a6] |
Generators |
[9188811393:219004343303:15438249] |
Generators of the group modulo torsion |
j |
-148035889/144495 |
j-invariant |
L |
9.5217360605742 |
L(r)(E,1)/r! |
Ω |
0.34950997886164 |
Real period |
R |
13.621551080694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3705g1 |
Quadratic twists by: 13 |