Atkin-Lehner |
19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15979c |
Isogeny class |
Conductor |
15979 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-6227205347549 = -1 · 192 · 297 |
Discriminant |
Eigenvalues |
-1 -1 -1 -4 -1 -1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1244,-118350] |
[a1,a2,a3,a4,a6] |
Generators |
[60:390:1] |
Generators of the group modulo torsion |
j |
357911/10469 |
j-invariant |
L |
1.0582981809618 |
L(r)(E,1)/r! |
Ω |
0.36401371052028 |
Real period |
R |
0.36341288472666 |
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 |
551a1 |
Quadratic twists by: 29 |