Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360de |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
138902320085760000 = 211 · 32 · 54 · 77 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-181120,23576468] |
[a1,a2,a3,a4,a6] |
Generators |
[-362:6468:1] |
Generators of the group modulo torsion |
j |
2727138195938/576489375 |
j-invariant |
L |
10.25516018758 |
L(r)(E,1)/r! |
Ω |
0.30944246256929 |
Real period |
R |
1.0356489357327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999635377 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
64680bu4 18480i3 |
Quadratic twists by: -4 -7 |