Atkin-Lehner |
2- 3- 5- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
115440de |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
85288919040 = 213 · 32 · 5 · 132 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -2 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7840,-269452] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:18:1] |
Generators of the group modulo torsion |
j |
13012697849761/20822490 |
j-invariant |
L |
7.4781294308603 |
L(r)(E,1)/r! |
Ω |
0.50740841079114 |
Real period |
R |
1.8422362688151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014937 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430bb2 |
Quadratic twists by: -4 |