Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
121086bs |
Isogeny class |
Conductor |
121086 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
12769971732 = 22 · 37 · 72 · 313 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17897,-917035] |
[a1,a2,a3,a4,a6] |
Generators |
[-77:42:1] |
Generators of the group modulo torsion |
j |
29189662039/588 |
j-invariant |
L |
6.7864277572414 |
L(r)(E,1)/r! |
Ω |
0.41276885046589 |
Real period |
R |
2.0551537891571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030345 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40362u2 121086br2 |
Quadratic twists by: -3 -31 |