Atkin-Lehner |
2+ 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
2158b |
Isogeny class |
Conductor |
2158 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
21216 |
Modular degree for the optimal curve |
Δ |
-34817842002305024 = -1 · 213 · 13 · 836 |
Discriminant |
Eigenvalues |
2+ 1 3 -1 -6 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,76888,-3634442] |
[a1,a2,a3,a4,a6] |
Generators |
[318840417657958:-7687006948396986:839362385737] |
Generators of the group modulo torsion |
j |
50269842484372470023/34817842002305024 |
j-invariant |
L |
2.8989664676448 |
L(r)(E,1)/r! |
Ω |
0.20769872891373 |
Real period |
R |
20.936332755669 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
17264d1 69056b1 19422u1 53950r1 |
Quadratic twists by: -4 8 -3 5 |