Atkin-Lehner |
2- 3+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
31416m |
Isogeny class |
Conductor |
31416 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6528 |
Modular degree for the optimal curve |
Δ |
-9613296 = -1 · 24 · 33 · 7 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 11+ -1 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,28,129] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-17:1] |
Generators of the group modulo torsion |
j |
146377472/600831 |
j-invariant |
L |
3.4130982751663 |
L(r)(E,1)/r! |
Ω |
1.6416561776513 |
Real period |
R |
0.51976447955889 |
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 |
62832p1 94248m1 |
Quadratic twists by: -4 -3 |