Atkin-Lehner |
3- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
92169bo |
Isogeny class |
Conductor |
92169 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2995200 |
Modular degree for the optimal curve |
Δ |
-211820358646932651 = -1 · 316 · 72 · 114 · 193 |
Discriminant |
Eigenvalues |
-2 3- 1 7- 11- 0 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6431187,6277511574] |
[a1,a2,a3,a4,a6] |
Generators |
[1478:-941:1] |
Generators of the group modulo torsion |
j |
-823518798157080825856/5929855229331 |
j-invariant |
L |
3.3646372757646 |
L(r)(E,1)/r! |
Ω |
0.28289625443275 |
Real period |
R |
0.49556407177621 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006177 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30723ba1 92169h1 |
Quadratic twists by: -3 -7 |