Atkin-Lehner |
2- 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360ey |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
47811456000000 = 213 · 32 · 56 · 73 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13960,545392] |
[a1,a2,a3,a4,a6] |
Generators |
[124:-840:1] [-86:1050:1] |
Generators of the group modulo torsion |
j |
214169197087/34031250 |
j-invariant |
L |
10.985703599451 |
L(r)(E,1)/r! |
Ω |
0.60866342259109 |
Real period |
R |
0.37601869373326 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999957466 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170be2 129360ga2 |
Quadratic twists by: -4 -7 |