Atkin-Lehner |
2- 3- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
71568bj |
Isogeny class |
Conductor |
71568 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-98035716612685824 = -1 · 232 · 38 · 72 · 71 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,44781,-14616110] |
[a1,a2,a3,a4,a6] |
Generators |
[33955:524286:125] |
Generators of the group modulo torsion |
j |
3325964415983/32831963136 |
j-invariant |
L |
8.0344165447474 |
L(r)(E,1)/r! |
Ω |
0.16635693353596 |
Real period |
R |
6.0370316200762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001174 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8946j1 23856ba1 |
Quadratic twists by: -4 -3 |