Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275cy |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-7.2998611051878E+20 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 11+ 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-49637673750,-4256623555083594] |
[a1,a2,a3,a4,a6] |
Generators |
[135431094325621038074055627054050055311571676182077635268797771521862727452297622390357926023991356647268022334095001893859675016911501143128072827914348970121238044924718220467684268:-52193231393842353821844363870167743713082205025951977873052685776721578744768960126744609637179568957794659957389172323799995804337324167449643508407542663928123285828206710305809108665:404544071603950595022753943465363174982796965015477820581637412123866718755177460296359052447076760073839801156008079941139452163927412099837687728603661262155248356467850608832] |
Generators of the group modulo torsion |
j |
-6725893729610137600/363 |
j-invariant |
L |
5.7015838789726 |
L(r)(E,1)/r! |
Ω |
0.0050572765603421 |
Real period |
R |
281.85050841806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40425cn2 121275fj2 121275ck2 |
Quadratic twists by: -3 5 -7 |