Atkin-Lehner |
2+ 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686a |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
34272 |
Modular degree for the optimal curve |
Δ |
-19944357888 = -1 · 214 · 3 · 74 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 2 13+ 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,465,-5403] |
[a1,a2,a3,a4,a6] |
Generators |
[14:57:1] |
Generators of the group modulo torsion |
j |
27311375/49152 |
j-invariant |
L |
3.8724426571142 |
L(r)(E,1)/r! |
Ω |
0.63786951647462 |
Real period |
R |
1.0118168259404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999306 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49686bc1 49686bt1 |
Quadratic twists by: -7 13 |