Atkin-Lehner |
3- 5- 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
98475q |
Isogeny class |
Conductor |
98475 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-181983277125 = -1 · 38 · 53 · 133 · 101 |
Discriminant |
Eigenvalues |
1 3- 5- 3 -2 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12041,-509947] |
[a1,a2,a3,a4,a6] |
Generators |
[267:3781:1] |
Generators of the group modulo torsion |
j |
-1544363467081469/1455866217 |
j-invariant |
L |
10.703700426872 |
L(r)(E,1)/r! |
Ω |
0.22786818378255 |
Real period |
R |
2.935825719634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030559 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98475l1 |
Quadratic twists by: 5 |