Atkin-Lehner |
3- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
46569l |
Isogeny class |
Conductor |
46569 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
23760 |
Modular degree for the optimal curve |
Δ |
-2749852881 = -1 · 311 · 192 · 43 |
Discriminant |
Eigenvalues |
-1 3- -3 -3 -3 1 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-207,2754] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-45:1] [-90:531:8] |
Generators of the group modulo torsion |
j |
-2718057673/7617321 |
j-invariant |
L |
5.4837870566823 |
L(r)(E,1)/r! |
Ω |
1.2651117941858 |
Real period |
R |
0.39405695081905 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46569b1 |
Quadratic twists by: -19 |