Atkin-Lehner |
2+ 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200cc |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
2304 |
Product of Tamagawa factors cp |
Δ |
-1.6659906673738E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-660808,654298388] |
[a1,a2,a3,a4,a6] |
Generators |
[-142:-27300:1] [-982:18900:1] |
Generators of the group modulo torsion |
j |
-997241325462146/5206220835543 |
j-invariant |
L |
14.003059019263 |
L(r)(E,1)/r! |
Ω |
0.15707251405119 |
Real period |
R |
0.15477479622428 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992509 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54600e3 4368b4 |
Quadratic twists by: -4 5 |