Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
116160i |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2703360 |
Modular degree for the optimal curve |
Δ |
72436153067520000 = 214 · 3 · 54 · 119 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11+ -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3320401,2329880401] |
[a1,a2,a3,a4,a6] |
Generators |
[951:5600:1] |
Generators of the group modulo torsion |
j |
104795188976/1875 |
j-invariant |
L |
4.5879336374811 |
L(r)(E,1)/r! |
Ω |
0.31753418860161 |
Real period |
R |
3.6121572235965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999675156 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160hi1 14520bp1 116160d1 |
Quadratic twists by: -4 8 -11 |