Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416cq |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-2738357350170624 = -1 · 221 · 315 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 3 13+ 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7764,-2503888] |
[a1,a2,a3,a4,a6] |
Generators |
[3666:27712:27] |
Generators of the group modulo torsion |
j |
270840023/14329224 |
j-invariant |
L |
8.8094780625384 |
L(r)(E,1)/r! |
Ω |
0.2172148633074 |
Real period |
R |
5.0695644904292 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52416ev1 1638t1 17472i1 |
Quadratic twists by: -4 8 -3 |