Atkin-Lehner |
2- 3+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
123786v |
Isogeny class |
Conductor |
123786 |
Conductor |
∏ cp |
92 |
Product of Tamagawa factors cp |
deg |
46315008 |
Modular degree for the optimal curve |
Δ |
-3.6929828440439E+26 |
Discriminant |
Eigenvalues |
2- 3+ 2 -1 -3 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-505719074,4474064784673] |
[a1,a2,a3,a4,a6] |
Generators |
[12001:359039:1] |
Generators of the group modulo torsion |
j |
-9279781122418011/239587033088 |
j-invariant |
L |
11.884618518034 |
L(r)(E,1)/r! |
Ω |
0.05354300694712 |
Real period |
R |
2.4126518624435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000049063 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123786c1 123786w1 |
Quadratic twists by: -3 -23 |