Atkin-Lehner |
3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127449a |
Isogeny class |
Conductor |
127449 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
844560 |
Modular degree for the optimal curve |
Δ |
-130690836584407323 = -1 · 33 · 74 · 1710 |
Discriminant |
Eigenvalues |
0 3+ 0 7+ 0 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,0,17393248] |
[a1,a2,a3,a4,a6] |
Generators |
[258248:6180227:512] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
5.3104671190937 |
L(r)(E,1)/r! |
Ω |
0.26133378533827 |
Real period |
R |
10.160314879775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000004439 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127449a2 127449f1 127449d1 |
Quadratic twists by: -3 -7 17 |