Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360y |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6274998734340188160 = 211 · 316 · 5 · 76 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1372016,-606255264] |
[a1,a2,a3,a4,a6] |
Generators |
[-702:3234:1] |
Generators of the group modulo torsion |
j |
1185450336504002/26043266205 |
j-invariant |
L |
5.5659982313556 |
L(r)(E,1)/r! |
Ω |
0.13968196283357 |
Real period |
R |
2.4904782623636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999698564 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64680cp6 2640m5 |
Quadratic twists by: -4 -7 |