Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160ca |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
456192 |
Modular degree for the optimal curve |
Δ |
-740824292736000 = -1 · 210 · 33 · 53 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 11- 4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-51465,4697937] |
[a1,a2,a3,a4,a6] |
Generators |
[-256:1015:1] |
Generators of the group modulo torsion |
j |
-68679424/3375 |
j-invariant |
L |
7.3568706991633 |
L(r)(E,1)/r! |
Ω |
0.50083601444258 |
Real period |
R |
4.8963935476948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001421 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116160jh1 7260m1 116160ce1 |
Quadratic twists by: -4 8 -11 |