Atkin-Lehner |
3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42483q |
Isogeny class |
Conductor |
42483 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-1303450232573979 = -1 · 33 · 76 · 177 |
Discriminant |
Eigenvalues |
0 3- 3 7- 3 1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,9441,1703909] |
[a1,a2,a3,a4,a6] |
Generators |
[2298:42479:8] |
Generators of the group modulo torsion |
j |
32768/459 |
j-invariant |
L |
7.8413078802781 |
L(r)(E,1)/r! |
Ω |
0.35800327240421 |
Real period |
R |
1.8252412023164 |
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 |
127449bc1 867a1 2499d1 |
Quadratic twists by: -3 -7 17 |