Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
109368bv |
Isogeny class |
Conductor |
109368 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.8993424314136E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2649675,1521941078] |
[a1,a2,a3,a4,a6] |
Generators |
[-1133:55404:1] |
Generators of the group modulo torsion |
j |
68295437500/6305121 |
j-invariant |
L |
4.7921663828684 |
L(r)(E,1)/r! |
Ω |
0.17461300697361 |
Real period |
R |
3.4305622748115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000057486 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36456f2 109368bp2 |
Quadratic twists by: -3 -7 |