Atkin-Lehner |
2- 3+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
13776g |
Isogeny class |
Conductor |
13776 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
65664 |
Modular degree for the optimal curve |
Δ |
-544538870636544 = -1 · 213 · 39 · 72 · 413 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 0 -1 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33304,2605936] |
[a1,a2,a3,a4,a6] |
Generators |
[90:574:1] |
Generators of the group modulo torsion |
j |
-997392270041497/132944060214 |
j-invariant |
L |
4.687677870114 |
L(r)(E,1)/r! |
Ω |
0.50330481117495 |
Real period |
R |
0.77614958934639 |
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 |
1722g1 55104dc1 41328bg1 96432cp1 |
Quadratic twists by: -4 8 -3 -7 |