Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
109368n |
Isogeny class |
Conductor |
109368 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.3100144560048E+24 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -2 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-153740979,-731654358498] |
[a1,a2,a3,a4,a6] |
Generators |
[-3717678736008554877:-9478303415005295556:499753361912293] |
Generators of the group modulo torsion |
j |
4575904097608151172/14916274366567 |
j-invariant |
L |
9.1559087225442 |
L(r)(E,1)/r! |
Ω |
0.042883207478389 |
Real period |
R |
26.688502556756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999815563 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12152d2 15624k2 |
Quadratic twists by: -3 -7 |