Atkin-Lehner |
2- 3+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
116160gf |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
68757754669560000 = 26 · 36 · 54 · 119 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 11+ 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1282640,-558550650] |
[a1,a2,a3,a4,a6] |
Generators |
[497118925:6575393160:357911] |
Generators of the group modulo torsion |
j |
1546408574144/455625 |
j-invariant |
L |
7.5429293104103 |
L(r)(E,1)/r! |
Ω |
0.14186687766298 |
Real period |
R |
13.29226641958 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999660201 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160iq1 58080bu2 116160gh1 |
Quadratic twists by: -4 8 -11 |