Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360bf |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2892841707571200 = 211 · 34 · 52 · 78 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25101014416,-1530673802621984] |
[a1,a2,a3,a4,a6] |
Generators |
[107010330:-1106975672594:1] |
Generators of the group modulo torsion |
j |
7259042500647479362626220802/12006225 |
j-invariant |
L |
3.1851613386921 |
L(r)(E,1)/r! |
Ω |
0.011994350519732 |
Real period |
R |
16.597195534376 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000013987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64680cr6 18480bc5 |
Quadratic twists by: -4 -7 |