Atkin-Lehner |
3- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
15939j |
Isogeny class |
Conductor |
15939 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-63261891 = -1 · 36 · 73 · 11 · 23 |
Discriminant |
Eigenvalues |
0 3- -3 7- 11- 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-174,-963] |
[a1,a2,a3,a4,a6] |
Generators |
[17:31:1] |
Generators of the group modulo torsion |
j |
-799178752/86779 |
j-invariant |
L |
3.188348223757 |
L(r)(E,1)/r! |
Ω |
0.6532498668445 |
Real period |
R |
0.8134580619098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1771c1 111573bl1 |
Quadratic twists by: -3 -7 |