Atkin-Lehner |
2+ 11- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
68816d |
Isogeny class |
Conductor |
68816 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15104 |
Modular degree for the optimal curve |
Δ |
-96892928 = -1 · 211 · 112 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 1 -2 1 11- 2 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-184,1012] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:44:1] |
Generators of the group modulo torsion |
j |
-338224754/47311 |
j-invariant |
L |
7.0373354878235 |
L(r)(E,1)/r! |
Ω |
1.8356109017576 |
Real period |
R |
0.47922298514401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000085 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34408a1 |
Quadratic twists by: -4 |