Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
71148u |
Isogeny class |
Conductor |
71148 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-339715140512744304 = -1 · 24 · 33 · 79 · 117 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 11- -7 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-179846,-40537671] |
[a1,a2,a3,a4,a6] |
Generators |
[1258:-41503:1] [532:3751:1] |
Generators of the group modulo torsion |
j |
-562432/297 |
j-invariant |
L |
8.2857559732102 |
L(r)(E,1)/r! |
Ω |
0.11311328639014 |
Real period |
R |
3.0521598588026 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999962 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71148cg1 6468g1 |
Quadratic twists by: -7 -11 |