Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200ge |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
496065024000000000 = 218 · 32 · 59 · 72 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 13+ 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20589408,35952643188] |
[a1,a2,a3,a4,a6] |
Generators |
[-4788:157458:1] [378:168000:1] |
Generators of the group modulo torsion |
j |
15082569606665230489/7751016000 |
j-invariant |
L |
13.840904845091 |
L(r)(E,1)/r! |
Ω |
0.24126750505074 |
Real period |
R |
3.5854664831636 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997944 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650bs3 21840bf3 |
Quadratic twists by: -4 5 |