Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
23826bk |
Isogeny class |
Conductor |
23826 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-21611116741632 = -1 · 210 · 3 · 117 · 192 |
Discriminant |
Eigenvalues |
2- 3- 0 1 11- -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4083,244833] |
[a1,a2,a3,a4,a6] |
Generators |
[134:1385:1] |
Generators of the group modulo torsion |
j |
-20852652111625/59864589312 |
j-invariant |
L |
9.9041594715174 |
L(r)(E,1)/r! |
Ω |
0.59869684518475 |
Real period |
R |
0.23632660433777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71478n1 23826f1 |
Quadratic twists by: -3 -19 |