Atkin-Lehner |
2- 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360dm |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
6087629856000 = 28 · 3 · 53 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11+ 5 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1834821,957230121] |
[a1,a2,a3,a4,a6] |
j |
462893166690304/4125 |
j-invariant |
L |
1.0505865550864 |
L(r)(E,1)/r! |
Ω |
0.52529279132918 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32340y2 129360hs2 |
Quadratic twists by: -4 -7 |