Atkin-Lehner |
19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15979d |
Isogeny class |
Conductor |
15979 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-9504681846259 = -1 · 19 · 298 |
Discriminant |
Eigenvalues |
2 2 -1 -1 -1 2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-97836,11812273] |
[a1,a2,a3,a4,a6] |
Generators |
[52334634:11385521:287496] |
Generators of the group modulo torsion |
j |
-174115016704/15979 |
j-invariant |
L |
12.084884407499 |
L(r)(E,1)/r! |
Ω |
0.69616953149399 |
Real period |
R |
8.6795556691233 |
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 |
551d1 |
Quadratic twists by: 29 |