Atkin-Lehner |
2- 3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
24150cq |
Isogeny class |
Conductor |
24150 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
3864726432000 = 28 · 37 · 53 · 74 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 0 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3933,7857] |
[a1,a2,a3,a4,a6] |
Generators |
[72:-351:1] |
Generators of the group modulo torsion |
j |
53826041237093/30917811456 |
j-invariant |
L |
10.239264230817 |
L(r)(E,1)/r! |
Ω |
0.67009606384459 |
Real period |
R |
0.13643118799467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72450cf1 24150q1 |
Quadratic twists by: -3 5 |