Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160fx |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
27202560 |
Modular degree for the optimal curve |
Δ |
-1.2502177804922E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- 2 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,37461439,-145449079719] |
[a1,a2,a3,a4,a6] |
Generators |
[673830085111248886828251731826241787628039866895531701731328837311139320:190326508068877930984493212414962301780948303831350350653460778051497361599:8493736265951572912440663879924680652616208785521946207121778732871] |
Generators of the group modulo torsion |
j |
218902267299584/470715894135 |
j-invariant |
L |
4.2171128426354 |
L(r)(E,1)/r! |
Ω |
0.036971747921775 |
Real period |
R |
114.06311791257 |
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 |
116160dp1 29040bq1 116160fw1 |
Quadratic twists by: -4 8 -11 |