Atkin-Lehner |
2- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
73034k |
Isogeny class |
Conductor |
73034 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
101088 |
Modular degree for the optimal curve |
Δ |
-576273389354 = -1 · 2 · 13 · 536 |
Discriminant |
Eigenvalues |
2- -1 3 -1 6 13- -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1346,31749] |
[a1,a2,a3,a4,a6] |
Generators |
[3401370:71852829:343000] |
Generators of the group modulo torsion |
j |
12167/26 |
j-invariant |
L |
10.884134881136 |
L(r)(E,1)/r! |
Ω |
0.63737909620403 |
Real period |
R |
8.5381956710965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000939 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26a3 |
Quadratic twists by: 53 |