Atkin-Lehner |
3- 7- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
12831b |
Isogeny class |
Conductor |
12831 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
-662041107 = -1 · 35 · 73 · 132 · 47 |
Discriminant |
Eigenvalues |
0 3- 2 7- 3 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,153,-952] |
[a1,a2,a3,a4,a6] |
Generators |
[54:409:1] |
Generators of the group modulo torsion |
j |
393510551552/662041107 |
j-invariant |
L |
5.6000231062691 |
L(r)(E,1)/r! |
Ω |
0.85016776189779 |
Real period |
R |
0.21956541431181 |
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 |
38493f1 89817f1 |
Quadratic twists by: -3 -7 |